Well, I don't agree with the logic, but I get it now.
Problems with what you said though; Jigglypuff was highly relevant and popular in the games too because of the anime. You also are entirely ignoring her being retconned to a Fairy type, making her relevant in Gen VI. She also was absolutely relevant in some spin-offs. She still is about Pokemon first. She is not kept relevant solely cause of Smash. Some are, sure.
Ice Climbers I can see your point on, but an issue comes with the fact that it only had one game. So it's not like it could become relevant outside of that game, and they're the protagonists. So it has a different situation than the others. Also, "nobody liked" is a really bad phrase to use, since that's a load of bull. Don't use your bias to determine reality for fans of series and gamers alike. Do research instead to know what they actually think.
Roy is the main protagonist of his own game and constant DLC and in various FE games as is. He is absolutely relevant. He was just lower priority than some others. Relevance doesn't mean they're high priority. Mewtwo is an example of why they are not the same thing.
ZSS is not some repeat. I don't know where you get that idea. She's a completely different version of Samus that represents who she is outside of the robotic suit. A repeat suggests they're practically the same character in design(as in, a clone). Also, she is highly relevant and constantly in games, so that makes the idea of that kind of silly. She also originated in Zero Mission, so, again, was relevant at the time too. It's her breakout game for that form of the character.
Sheik was planned to be in Twilight Princess at one point, and the concept art kept her in Smash. That means she was supposed to be both relevant and a continuously used character. Smash didn't actually keep her relevant so much as Nintendo's own plans. She's also in Hyrule Warriors, and Sakurai blatantly thought of giving her a Toon version at one point as shown in Brawl's data. She's actually pretty important. She's also a character people recognize outside of Smash.
Here's a question; why isn't Captain Falcon a Smash rep then? He hasn't had a new game since forever, and is only relevant because of Smash now. It wasn't because of concept art or the idea that he was supposed to be relevant outside of it. He's in the same position as Ice Climbers. Even Roy is far more relevant due to more official Fire Emblem appearances.
This is kind of my point; your relevancy argument doesn't work for every single character and there's a lot of unique context of why they are still in Smash. And not all of it is "because Smash keeps 'em relevant and they're popular veterans".
Considering you got a ton of stuff wrong, I don't see why we need to. You don't understand a lot of the characters and their histories, or even their current game appearances. When at best the only character point you have right is Ice Climbers(who actually are a retro pick, meaning they were not added due to being a popular character beforehand, and thus, their popularity in Smash isn't nearly as relevant as why they were picked in the first place), and that's kind of iffy, it's kind of an issue. Your arguments have holes in them.
You should start reading Sakurai's articles on character inclusions. I'm sure
@PushDustIn can hook you up on more information. You'd easily understand why they're there. To end with, the symbols that represent a character are not random and always have meaning. The ones with a Smash Symbol is there because, as I said, either the character or the moveset is entirely made up for Smash. In the case of Bosses, it can be both. It has nothing to do with representing Smash Bros. specifically in any way, so much as where they originated from that matters.