That was an HD Remaster. People would shell out a lot of money for remastered PS1 games, but for as-is games, I find it harder to believe. We'll see if Nintendo tries to do an N64 Classic. I do not see that going over well because the games from the PS1/N64 era look like straight ass these days, and a lot of them play pretty poorly. Outside of a handful of releases from late in the systems lifetime, they would require some serious touching up.
A lot of those games age like milk. PS2 is where Sony really started to shine, and SNES is where Nintendo stopped shining. The PS1/N64 era had a lot of great games for the time, but unless you remaster some of those games they are not going to be pretty.
FFVII is already available on PSN for PS3, PS4, and Vita--and it sold okay. Square-Enix holds the rights and is already remastering it which is going to cost them tens of millions of dollars, maybe even more when all is said and done. Why would they even bother letting Sony use it in a PS1 Mini? You also just listed 5 JRPG's, and if Sony is going to release a PS1 Mini, much like how the SNES wasn't stacked with RPG's, it's going to be more expansive when it comes to the variety of games.
We're also missing the biggest issue--PS1 games were on CD's and some even across multiple CD's, you're going to get way less bang for your buck than you get with the SNES/NES Classic. FFVII alone would eat up what, like 1-1.5GB of storage alone?