Yeah, its not the best definition, admittedly. I really think remakes nowadays should be something more like Metroid Zero Mission, Yakuza Kiwami 1, or the Crash and Spyro remakes; massive improvements over their originals.
But at the same time, a PS4 Pro's only performance improvements on Yakuza 0 and I assume Kiwami 1 (both of which released on PS3 in Japan alongside the PS4 versions) is the elimination of screen tearing. Like, no truly upscaled textures, filters, or anything dramatic, really. And considering how a lot of the remasters were made only because of the elimination of BC at the start of this console generation in both the PS4 and the Xbox One, it makes the 8th generation of consoles kind of feel like a continuation of the 7th gen; sure, games made specifically for the new hardware definitely couldn't be done on a 360 or PS3, but there were too many games that were cross generation this gen IMHO. Sure, back in the day, you might see Tony Hawk's Pro Skater 3 be made for the N64, PS1, and PS2, but that was the exception, and not the norm like it was for every big franchise to release their games cross-gen like they did in 2013-2015.