. . .Its only problem is that it makes the show feel too futuristic. . .
Maybe this is part of the reason I have a problem with it. I don't see it as futuristic, but as a cliche. I got into sci-fi at 8, and maybe I've just seen too many sci-fi stories in the 54 years since. I can see antecedents of the TCW in The Outer Limits' "Soldier" and "Demon with a Glass Hand". It would have probably worked for me as its own self-contained series. I just don't think it had any business being squeezed into Enterprise's premise. I initially thought they were using the TCW to establish that Archer & Company were in an alternate universe from the beginning (as Abrams later did), but they didn't even do that.