I've only played the first's remake so far, but I'd say that yeah that's probably true of all of the games. The original game's remake is pretty good, but I definitely prefer how the original games feel to play, same as the Crash remakes. Spyro just feels much more smooth and nimble to control in the original games, where as in this one it almost feels like he's guided on a wire or something, especially when gliding. It's really kind of hard to describe.
I experienced a pretty bad glitch that actually pisses me off pretty bad and I'm not sure how it'll fix or if there's a way beyond just totally restarting the save. I'm in the 1st Spyro in Magic Crafters. On Wizard Peak I found 499 out of 500 gems. I am missing one gem and Sparx cannot point to it and I scoured the whole level and couldn't see the thing. So that leads me to think that it either fell off the map or into one of those water pools. Really fucking lame to be honest. I had a problem with a gem before where one was kind of up above the ground, clipping a wall where Sparx couldn't grab it, but I was able to get Spyro to physically hit it to collect it. This new problem is definitely much worse though because I literally cannot find the single gem and Sparx doesn't even know. It's actually kind of hilarious because when you try to ping him to find it, he just kind of spins in a circle and then throws his arms up like "¯\_(ツ)_/¯ idk bro".