As much as I love Chrono Trigger, I don't really see how you justify having Crono himself being the Square rep in all honesty. Chrono Trigger may be regarded and well loved by SNES fans, with some even hailing it as the best RPG ever... but that's hardly a defining feature for that era of SNES RPGs. Final Fantasy VI, Super Mario RPG, Chrono Trigger, Dragon Quest V, hell, even Secret of Mana I've heard called the best RPG by different people. The SNES era in general was just really damn amazing for RPGs and they collectively defined the RPG genre. Chrono Trigger however loses in a couple of distinctive categories beyond that. It's not much of a series as Chrono Cross has always received the moniker of good, not great and completely failing to live up to the quality of Trigger. And that's really it. The Chrono series just ceases to exist after that point, and from what I've heard, the series just can't really have much of a future and the trademarks have even slipped too. Add to that the fact that Chrono doesn't really have much of a fan following himself, an area that can significantly make up for the first point (Geno, King K. Rool, etc.) that just doesn't help him.
Of the Square Seven we heard about ages ago (and really most Square reps in general), Crono just has the least reason to ever make it in. Dragon Quest and Erdrick/Slime/Whoever has a thirty year franchise that's responsible for the console RPG as we know it. Kingdom Hearts and Sora are responsible for one of the biggest crossovers in gaming besides Smash and Kingdom Hearts continues to enjoy huge popularity with III's release. Geno has a large and vocal fan base backing him. Tomb Raider has Lara Croft, one of the most well known characters in gaming history and a massive influence on the 3D action games. Crono really just has the beloved original game going for him, and that's not necessarily all that unique for his era of RPGs.
Plus, he's cut from the same cloth as Erdrick all around being designed by Toriyama and acting as the main playable character of the game while also primarily being shown wielding a sword. I'm not calling anyone specific out in this thread or anywhere else, but I'm always a little confused as to why Erdrick gets hate from some people, yet those same people will turn around and support Crono. Beyond the series they represent, there's not a lot terribly different about them and they potentially bring the same problems some people cite (Anime, Swordsman, JRPG, etc. I don't agree with any, but they both check off a lot of the problem boxes some of the Smash fan base seem so eager to point out).