Going with Cage.
Phil (Bill Murray in "Groundhog Day"😉, a complete douche with no physical skills worth speaking of, at some point could "predict" everything around him, thanks to his reliving the same day over and over. He could "predict," and be ready, all over town.
I don't see why Cage couldn't eventually do this with Cap, regardless of what Cap does. Cage became able to survive a Normandyesque battlefield full of very fast, stealthy and hostile creatures (and very difficult to kill, even with weapons).
Going with Cage. It's just a matter of ... time.