If I load test at the end of the day. If I'm zeroing for hunting after the hunting trip. Varmint guns prior to going to the range to re zero for more hunting.
I'm of the mind that if I get my gun zero'd in I'm not going to change anything that got it to the point it's at prior to firing it at an animal. Now, keep in mind that if I do sight in for hunting I also don't do a bunch of load development shooting with a particular gun the same day. I clean it throughly, choose the load I'm going to hunt with and run a max of 10 rounds to dial it in, less if it is hitting where I want with less.
I always wipe down the guns with a silicone cloth prior to putting it in the gun closet.
Cleaning by shooting doesn't really sound like a feasible option for me, although an interesting theory which would be very economical in the short run as far as not having to purchase those costly patches and solvents

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