I'm not getting into the rest of your "young child seeks to defend its favorite toys" argument, but I'd like to point out that Matt has been an explicit bullet-timer (as in: "dodge this high-speed sniper bullet as I feel it at the back of my neck-timer"), and was flipping limos and using a loaded barbell (with what looks to be around 350lbs of total weight) as a bo staff since well before the past decade:
In the meantime, with the exception of Ultimate Cap, 616 Captain America has always been a CBPH (Comic Book Peak Human - e.g., Batman-level). All his serum did for him in the main comics is give him Olympian+ level speed, strength and endurance. It didn't make him a superhuman like it did with MCU Cap.
So to bottomline it, comic Cap is too slow, and too weak against comic Matt.
And no, don't bother posting scans of DD vs CA fights, since we know the winners of those is usually based on who the writer or plot deems needs to win (Plot Induced Stupidity). I'm basing what I'm saying on presented feats of the two FICTIONAL characters in question.