Whether or not the guy behind you is better than you is irrelevant. Or did you bat 8th?
At any rate: had you only struck out, they would have had a chance. Which they didn't.
Chance for them to drive in runs after you K > Chance for them to drive in runs aver you GIDP.
I'd say the batter's job isn't to "get a hit" - it's to "help score runs." After all, batters will often intentionally NOT get a hit, in the belief that, by giving themselves up, they're helping their team score runs.
So some of your preference just sounds like ego. Except that I can't square that with your claim that you wouldn't have liked for them to K and give you a chance to pick them up. Along with, potentially, runs. That's just bizarre.
The rest is just "old fashioned" thinking, which COULD be wrong (it's not like you don't have anything to learn about the game of baseball, right? I know that's not true for me. I doubt Mikey would say the same, though).
The only question, IF it's wrong, is: can people ever be convinced otherwise? That has been the REAL point of this thread for about 80 pages, now: the battle against the old, rusty ironsides of the "conventional baseball wisdom."
Are we religious zealots, immune to reasoning and new facts, or are we students of the game, trying to learn as much as possible about the game we have a passion for?