If i remember correctly, Lime use RPG Maker MV (or MZ). So it's not really a problem, many plugins (layer) & tricks (parallax & region in the software) can avoid this . Or as you say, Tiled + Tiled plugins for RPG maker do the job !
I don't really use any engine if I have to be honest! i try to make the asset versatile enough to all the engine eheh but I don't deeply know any of them