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What recoil affects the flight of the bullet is minuscule. Of course you are "technically" correct but shooter technique and skill play a much greater role.
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The recoil contribution is extremely consistent, so if groups grow, it can't be blamed on recoil. However, the difference in where the muzzle starts when the bullet isn't moving and where it ends up at the time the bullet exits can make a pretty significant difference on target.
In a 40oz .357Mag revolver with a 4.2" barrel, a 125gr loading at 1450fps hits about 9" higher on a 25 yard target than it would if the muzzle didn't rise due to recoil while the bullet was in the bore. Change to a 158gr loading at 1240fps and the bullet will hit another 3.25" higher.
So yes, if the groups are big, it's not the gun, it's the shooter, but when it comes to revolvers, the point of impact change due to muzzle rise while the bullet is in the barrel is pretty significant.
The experiment I suggested earlier with the dowel and the yardstick will immediately demonstrate how much the muzzle has to rise before the bullet exits.