I think this leaves a clear indication on the fates of the other JP Emblems.
Gaiden got a full remake because its own unique features lent itself to a remake taking full advantage of them; a straight translation like FE1 is getting would not gel well with Gaiden's random encounter dungeons. SoV also had the blessing of good timing: It was riding off the success of Awakening and Fates, and so a full fleshed out and voiced cast was expected.
Now, we have the hindsight and figures to see that Echoes did not sell as well as those two games, and Three Houses selling gangbusters dispels the notion that FE was seeing a dip in hype that Echoes was just a victim to. And we have Heroes providing frequent updates with characters with new art, voices, and expanded personalities.
Combine the two realities together and we have the impression that the classics will still have their fanbases that will seek out official rereleases, and don't really need to have all the bells and whistles of the modern FEs. They just want to have the games in an official capacity, and can get the expansions they'd like in Heroes and future crossover projects.
TL;DR: I expect Fire Emblems 3, 4, 5, and maybe 6 to get the full translation job 1 is getting. With their own collectors editions too. Remakes will be reserved for 6 if its not getting just a translation, and for the Gamecube-era Emblems where the template to improve on the 3D is already there.