I do think he's high tier as I can't think of more than 9 characters who are definitively better, those being Sheik, Rosalina, ZSS, Sonic, Pikachu, Fox, Luigi, Mario and Diddy and 4 more who compete with him, being Ness, Yoshi, Wario and Villager. Anything else is a stretch except possibly Mega Man, Pac-Man and ROB unless we're going to see some ridiculous meta developments from them. The last patch might make one think otherwise but I still believe many of the characters I mentioned are more likely to get nerfed in future patches than Falcon is. Custom Falcon might also be a thing with his LFK infinite if Sakurai continues his habit of not patching custom bugs.
I also don't think Falcon struggles versus projectiles, instead he's an anti-projectile character for the most part although his massive dash makes powershielding out of dash pretty annoying sometimes. He really struggles with characters who can easily combo him offstage and then put him into a bad situation where he has very few options and if he chooses wrong he gets gimped. Such characters would be Sheik and Pikachu and I'm not convinced about any other straight up bad matchups yet. Many others can do the same but they struggle versus Falcon in other areas too much.