Nope, it won't be a PS5/XboxWhatever launch title.
Capcom's RE team have released two quality titles on this generation of consoles, RE7 & RE2make. Given the quick turnaround between RE2make and RE3make, much like their Ps1 originals, they're probably aiming for this to be current generation only.... at first.
If Capcom is smart and likes money, they'll be looking at releasing RE2make AND RE3make on the next generation consoles, in one package, eventually. I'd bet around a year after the RE3make is released.
Hell, they released the REmake and RE0 on one disc. Smart move on their part.
And I bet they'll take advantage of the next generation's hardware and software to make it 4K, 60FPS, and with minimal load times.
100% speculation on my part, but I've been speculating since before RE2make was released Capcom would also remake RE3 if the sales charts indicated huge interest by gamers, and they got huge sales which indicated huge interest.