I don't think I'd be that bothered by how poorly it has aged, as I'm usually able to look past that when it comes to older games.
Would you be able to elaborate on why the Shadow Dragon remake was done poorly? The general impression I've got from others about Shadow Dragon is other than being the first Fire Emblem there is nothing special about it. The reason I care about playing them in chronological order has nothing to do with following the story, as I already know most of the FE games are unrelated to one another, but I want to start with Shadow Dragon and go in order to see the evolution of the series. I'd prefer not to start with Awakening because of how divided peoples' opinions are on it.