The Putter does get rotated occasionally, the Wedge less so. I need to get some more JDM Wedges! My core theory is the short game will cover most shortcomings elsewhere in the bag, and take away some of the anguish. Though I think if I was willing to spend a bit of time practicing with other wedges and putters it/they would become less of a crutch.
I try not to Jim, I find I can flight most clubs to suit the conditions. But if the conditions are bad enough, I might take a little bit of extra comfort by ensuring my go to clubs are in the bag to cover up "problems" elsewhere in the bag. e.g. If the Driver hasn't been hit before, I like to have a fav #1 Hybrid in bag as back up in case.