You do need some special precautions with resin, namely a well ventilated area (or exhaust it out a window or something), gloves, goggles and maybe a respirator depending on resin type. But basic safey practices mitigate any of the health concerns or dangers.
Resin is a fine entry point if what they are printing is not only very detailed, but something they want to print multiples of. FDM can do amazing detail, but Resin can do it far better, and with less time investment. But as I said in my original post, FDM can do good enough detail with time and dialing if they are gonna be printing things besides detail oriented miniatures as well.
Fair, you do need some basic safety gear in addition to being able to exhaust it out a window, namely gloves, goggles and maybe a respirator, which might blow your budget if you dont already have any of that (and anything gloves/goggles used for resin should stay with the resin printer to avoid cross contamination).
But I did want to mention it since your main example is Minis, which is very detail oriented.