(1.1) No, I understand the purpose and function of improvised attacks (and improvised actions broadly). I just don’t think that improvised attacks should be at the same starting line as Basic ATKs when it comes to DMG. Sure, there can be exceptions, and there can be Effect application, but improvised attacks shouldn’t be stepping on the toes of Parts that players paid for.
(1.2) A Stratagem might say, “Increase your current Shields by your COM”, for instance. There’s shades of this already with Stratagems that grant Shields based on Hits for some Stat Roll or other; that’s indirect scaling. The same could be done for Parts and Perks if direct scaling benefits were desired, which it seems like they’re not, but hey, house rules.
(3) We’ll just have to agree to disagree here. We draw the line of “acceptable mechanical outlier” in different places, which is fine.