Disclaimer: I'm a scrub who's never done anything notable in tournament. I've playing for just over a year, maining Luigi for the vast majority of that time. I have very little actual matchup experience (outside of the Roy matchup and kind of knowing how to combo/edgeguard/tech-chase spacies) so most of this is theorycrafting. I haven't really done in-depth video analysis before. I also tend to focus on the negatives when I analyse things so don't worry if it seems like I'm not saying anything good about your play.
I watched all of the videos at least once; I'll edit this with an in-depth analysis since it'll take a while to do.
In general:
• Your can move well when you want, though in a lot of cases you choose not to move at all.
• Your tech skill seems quite good in general (though I didn't see any shield drops; you should learn that if you haven't already).
• Your edgeguarding looks solid.
• You vary your option choices when you are recovering.
• Your tornado mashing is good.
• You use lightshielding usefully (most people don't even do this at all so you're already better than them).
• You are confident at knocking your opponent off platforms with aerials (jumping up and fairing them offstage, etc.).
• You seem quite confident from the ledge and are aware of what your options are.
• You aren't confident enough in going for punishes; there were lots of times where you missed clear and safe opportunities to punish even when you had lots of time to react.
• Your punishes could be a lot more optimised.
• You don't grab enough.
• You almost never dash-dance.
• You spend too much time unnecessarily standing still.
• You spend too much time in the air where your opponent could punish you.
• You give up stage control too easily.
• You go for attacks which are punishable because the opponent is at too low of a percentage (in many cases not even because they could crouch-cancel, but because they wouldn't ever get sent into tumble). This applies to a lot of moves that you do, but especially the triple jabs the you use a lot.
• You space a lot of aerials either too high up or too far inside the opponent, allowing them to punish you.
• You missed fast-falls to the ledge (after being shined off, etc.) quite frequently.
• You double jump too early in combos when you don't need to do so to reach your opponent; this prevents you from following up properly and wastes your jump if you get hit out.
• Elephante is missing their DI in a lot of cases (especially on combo moves).
• Elephante doesn't seem very comfortable/familiar with edgeguarding Luigi, so you manage to get back when you shouldn't quite often.
• Your capture card seems to record the sound at a slightly lower pitch sometimes and it sounds weird. Maybe it's just me.