Someday I have to do the same and play the PS2 games - knowing that my PC probably won't handle the HD ports (it WAS able to handle Yakuza 0 with low graphics...but I never played it beyond a few minutes which is a shame, and I could try again...but I forgot to lol) - nice to hear there's an undub patch for 1 too.
At least thankfully both PSP games have been fully translated by the time you decided to play them - those were missing translations for some years until not too long ago.
Definitely play them, they're really fun. Some fights are kinda BS but with enough perseverance you can get through em xD
Yakuza 0 is also phenomenal, probably the best game in the old Yakuza 5 engine.
And yeah, I waited for Kurohyou 1 and 2 to get the patch, I kept myself updated and finally they came out!