You haven't played real PS1 hardware in a while have you? The textures are filtered in those gifs (the PS1 couldn't blur textures like that) and the framerate looks too high. CTR was horrendous at times regarding framerate.
People need to stop posting tiny gifs "to represent" a game. I got tired of that shit back in "lets post Killzone 2 gifs everywhere". Games look different i fullscreen, tiny gifs make fucking Atari Jaguar games look good.
I suspect the "filtering" you're seeing is a side-effect of the GIF compression. Here's some screenshots from the uncompressed video:
The reason they're tiny is twofold: firstly, I wanted to use a size that felt representative of the resolution the console originally rendered at, and secondly I didn't want to chew everyone's bandwidth with stupidly large GIFs. I originally wanted to do WebMs, but the H264 compression makes it kinda pointless with PS1 games.
Finally, I wasn't aware PS1 emulators were capable of increasing framerates.
While he specifies that he's using an emulator and is incorrect about filtering (as you say, it's clearly there) it could still realistically originate from PS2 hardware. The PS2 used real PS1 hardware but had the added benefit of filtering textures when the option was selected. It was still 99% accurate to actual PSX hardware in terms of performance and visual quality - just with texture filtering as an option.
Whoa now, in this case, tiny gifs actually do represent the output resolution of these games.
Cheers for the backup