That sounds like an interesting strategy, but how do you mark the side you have used?I wanted to give the R41 another run around the block, before I replied to your post. As a matter of fact, I gave it two more outings with a fresh Feather, using my regular technique of one shave per side of the razor. This essentially gives me a fresh edge for each shave. But unfortunately, I still haven't gotten the R41 to work adequately for me.
My first shave was with my usual XTG/ATG modified 1 pass, with a 1/2 pass touch-up. I ran into the tugging and even some skipping when doing ATG right out of the box, resulting in several small nicks & weepers and a somewhat patchy shave. I was extremely disappointed.
Two days later for shave number 2, I decided to try a more conventional full 2 pass WTG/ATG shave, and this time I was rewarded with a very good DFS on the majority of my face. But again, I received several small nicks & weepers - only this time on the WTG initial pass! However, I must admit this shave was immensely better on ATG, and I received no new nicks or weepers on the ATG pass. I did rush the initial WTG pass a bit, and suspect that may have contributed to the nicks, though I'm not sure.
So while I'm still not happy, I am encouraged at having gotten what seems to be a pretty good shave with the R41, even if I still got bit by it. It seems like maybe as you've described, it just simply won't go ATG until after 1 or 2 non-ATG passes. This sucks of course, since I can fearlessly jump into a Piccolo shave ATG (with buffing), and pretty much be done in one easy, smooth, nick-free extended pass.
So guardedly encouraged, I'm going to give the R41 another couple of goes, using a Feather and a conventional 2 or 3 passes in the WTG/XTG/ATG format. If that don't tame it, I'll give it a try with my new Polsilvers, which I find extremely smooth and very reticent to cause nicks and weepers.
BTW, the next time you use your R41 in the "only a fresh Feather" mode, you might consider trying my technique of only using one side of the DE razor per shave. Like myself, you might like it and get to extend your "fresh Feather shave" to two shaves per blade - with no hassle at all!