I just want to know about the localizations of these remasters. If they got all-new, not-Working Designs localizations, that would be very welcome.

I can't say I ever found the PlayStation version of the first Lunar grindy. When RPGs have battles triggered by visible, on-screen enemies, I just fight each battle once as I first come across it, and then I try to avoid the battle if I have to pass through the area later. That was more than enough for me to be sufficiently leveled in Lunar. And don't bosses scale with the player anyway? There's no point in grinding for those. You just need a better strategy if you lose, though I don't remember losing much in the game in general. If I remember correctly, almost every boss is best defeated the same way, by powering up Alex and then using whatever move of his is strongest.