your first paragraph makes it look like you didn't even read my post. i said how i think results should be incorporated into tier lists. the general rule of thumb is that tier lists should be based on matchup spreads, which are based on 'theory' that is crafted and refined by studying interactions and looking at results. that is very useful because it uses a metric that actually measures how good characters are (their matchups against the cast) and accounts for shifts in the metagame (changes in theory/trends in results).
the confirms i listed aren't situational. up b oos is very common to land, especially against fox who often commits to options that bayonetta can combat with up b oos. up b has a guaranteed confirm into fair. the timing for the up b into fair is not especially easy, and neither is the timing for the fair string. however, the fact that the current top bayos miss it essentially every time is indicative of just not practicing it because it's not so hard that it cannot be consistently done with practice. there isn't really a practical way to sdi out of the fair string, so once you are hit by the fair you should be dead. fair can also be landed raw in neutral. dtilt is a common move to land in neutral. getting a fair out of heel slide or in an up b->side b combo is not uncommon. these are not particularly hard things to land, and the fair should always lead to death.
i don't agree that fox wins neutral against bayo. it's a close neutral, granted, but there's still many things that bayo has going for her. fox doesn't really have a way to force bayo to approach because bayo has all of the options to basically ignore lasers (i'm presuming that's what you mean) and the options to punish them from further distances than other characters due to bullet arts, heel slide, and dive kick. bayo is a relatively hard character to dance around because she has good range and burst options to cover both above and next to her. fox can sort of play games with his movement, but there's definitely limits to it. most of fox's effectiveness against bayo in neutral comes down to whiff punishing, low end lag, and his ability to get under bayonetta quickly. bayonetta still has a lot of options from a defensive standpoint and a solid bait/punish game that she can utilize to make neutral very tight or in her favor.
i said fox struggles in general with the top 4 because he has two slightly losing matchups and one solidly losing matchup without beating any of them. it's not as bad as a character like zss or mewtwo struggles with the top 4, but it's also worse than characters like rosalina, sonic, pikachu, mario, and mk do, and on par with the likes of corrin and marth. while matchups against those characters don't determine everything, i think effectiveness against them is one of the more important aspects of how good a character is. the way i tend to weigh this is matchups vs top 4>matchups vs 5-15 (the range of characters i'd put in the tier after the top 4)>matchups vs everyone else. i won't dispute that fox is solo viable at top level, but i think other characters are with fewer/less important problematic matchups. i'll post my top 20 at some point soon because i think it could spark interesting discussion.
No, I read your post. Don't agree with only using results to refine MU spreads, which are then used to build tier lists. A good tier list should simply show how good characters are in the meta. For that, we don't just see how well characters match up - we look at how far they go and how often. MU spreads should be a big part of it too, but ultimately, if a character is able to make splashes frequently, it's difficult if not impossible not to take note of that when making a list of how viable said character is.
As for Bayo vs Fox - I listed three things, not just situational. SDI for Witch Twist, for one thing. But beyond that, iirc (and correct me if I'm wrong), the only way you get fair chains alone (no WT) to convert to death is repeatedly alternating between fair 1 & fair 2. And this is typically deadly offstage because Fox has to SDI + airdodge, which puts him in an unsavory position. But typically offstage - not mid stage.
That's the only death combo I know of on Fox by Bayo. If you have video showing something else, definitely share!
As for neutral - it's not just about his ability to force her to approach with lasers (which outrange bullet arts anyways). Bayonetta isn't ZSS - her mobility stats are firmly "okay." The way she dances around opponents/camps them out is typically by abusing specials and large hitboxes.
Thing is, as mentioned - Fox is fast enough to chase her landings, and fast enough to bait out those large hitboxes & get in as needed. His frame data outclasses hers as well. Obviously, she has other traits - WT OOS for example - but a lot of Bayonetta's threatening neutral comes from simultaneously abusing her "vulnerable" state and giant hitboxes.
Makes me wonder how good a campy Fox would be against her, tbh. But IDK of any campy Foxes in this game.
As for the last point - from what I'm seeing, top Bayos are beginning to believe the Fox MU is better for Fox than initially thought - not just randoms like me.
And all the characters you mentioned - Mario, Rosalina, Sonic, Pikachu, MK - have their own host of issues. Rosalina has a poor MU against one of the most common characters in the game (worse than Fox has it, based on results), and then still has MK.
Sonic... doesn't do so well against Bayo himself. Cloud and Sheik also beat him, depending on who you ask. Mario to Bayo and Cloud, solidly so. Pikachu... certainly really good, but a bad Mario MU. I don't know the rest of his MUs super well, so no other comment there. And MK... since post-patch, I'm not sure what MUs he solidly *wins* anymore (minus floaties, ofc).
And while most of those aren't "top 4" MUs, I think it still illustrates my point.
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Funny enough, though, your logic illustrates my point about DK/Bowser. If you A) value MUs against the top 4 above MUs elsewhere, and B) use results to refine theory and logic... DK and Bowser do solidly against Sheik & Cloud at least.
But of course, this is the point where we get into theory, and everyone has such wildly different theories about characters and MUs - gets hard to move towards anything.