Anticipating recoil is NOT the same as flinching.
When I had inconsistent misfires in my S.A.S.S in .358 Winchester, (A disconnector problem, since fixed.) I found myself shoving the gun forward briskly whenever the cartridge failed to go off. (.358 Winchester generates PRODIGIOUS recoil in a handgun. Heck, it's pretty stout out of a rifle!) This gun is nothing short of painful to shoot, so if any gun's going to generate flinch issues, this is the one.
However, I discovered that this was NOT affecting where my shots were going. I was not anticipating the recoil BEFORE the hammer dropped, I was simply being proactive about recoil control. The sights were correctly aligned when the hammer dropped, so the forward shove was in response to the hammer drop itself, and was not a flinch moving the sights around before the shot went off.
Flinches occur either before or as the hammer drops, throwing aim off to who-knows-where. Anticipating recoil does not have to do that.
Experimenting with this handgun chambered in a 9mm rifle round established that what I initialy thought was a flinch didn't affect point of impact WHEN THE GUN WENT OFF. It only ever showed up dry-firing or when the darn thing misfired. I would suggest analyzing closely the set of actions in and around actually firing a shot. Have someone else watch while you shoot to try and determine just WHEN in the firing cycle this "flinch" is occurring.
Flinching tests like dummy rounds in the mag, or empties in the cylinder loaded by someone else can reveal recoil anticipation, and make it look a lot worse than it is. It depends on when the gun starts moving in a timespan measured in milliseconds. THAT will take some very sharp looking.
Most of all, don't convince yourself you have a problem if in fact you don't. Are you still grouping OK? Can you call your shots? Maybe it's not as bad as it seems on the surface. Checking it with flinch tests can really make you feel like a failure without actually pointing at a problem. If the bullets go where you want consistently, who cares how you push the gun around when you drop the hammer on an empty?
Of course, the usual caveat applies, what worked for me might not help you a bit. But make sure you actually HAVE a problem before you make a strenuous effort to fix it by changing your established shooting regimen that's been working fine putting the bullets where they belong. "If it ain't broke, don't fix it."