Considering we are talking a PS1  ports... There wouldn't even be an excuse if the port ran poorly even on a PS2.

There are likely a myriad of reasons why this turned out the way it did... Lack of development resources, source code... And just terrible emulation quality.

Another aspect is that some games are just running on terrible/poorly optimized game engines which always have these little "peculiarities" and thus no amount of hardware will resolve erratic frame pacing, stutters and framerates... I.E. Grand Theft Auto, Elder Scrolls. etc'.

I'll be playing the OG mode without improvements. I prefer the way the art looks at lower resolutions

I thought they were making a remake but it turns out to be just a port with improved characters and dialogue boxes, so it is at least 20 years late.

I loved playing Chrono Cross on my PSP, playing this port on PC feels like a waste of time now.

So, a MiSTer FPGA.

It uses a wrapper, and is, as usual, a shit "remaster" job from Rectangle Enix.

What do you mean with wrapper?
Rectangle Enix lol... That made me chuckle. 

The original post, before editing, highlighted this problem specifically on the PS5. No other devices, that I recall, were mentioned, so that's why the conversation went there.

If it was a remake then it would take 5 years to come out after being announced, just like FF7R. These people can't help themselves but announce games prematurely and then take an absurd amount of time to make them.

Depends on your definition of best. For me, it's about playing them as closely to how they played when they first came out. And nothing gets you as close to that than playing them on the original system, plugged into a CRT.

Modern resolutions: OSSC or Retrotink 5X, for example.

Controllers.

For your SNES games it does everything your rig can, but with increased accuracy, less input lag and less sound latency due to no Windows drivers.