I own and shoot both. Both guns are excellent, well made examples of G.I. Mil-Spec style 1911 pistols. Both can be had in Stainless steel, (which I chose). Or else the Springfield can be had in Parkerized, and the Remington in blued.
Both of them ran perfectly right from the box, with no "tweaking" required. Both have the lowered ejection ports, and neither one damaged brass on ejection, the way some G.I. 1911's can. Both have the short trigger, not the long trigger that is common on Colt Government Models. The Remington has the straight mainspring housing, while the Springfield Mil-Spec has the arched housing. So it becomes a matter of personal preference.
I'm very adaptable to weapons, so it really doesn't matter to me. The trigger on both of my guns are very good. Very little creep, and a fairly crisp let off. Over travel on both guns is about the same, and isn't excessive. Of the 2, the Remington has the slightly lighter pull. Both guns feed open cavity self defense ammunition well. No problem with any of the different brands. It was a hard choice, which is why I bought both.
Both of these guns are excellent buys, and I really don't think you can go wrong with either.