Cconsider this. Not sure what caliber your shooting but lets assume you shooting at 2500 fps. Thats over 1700 mph! I would think that by the time your bipod flexed your bullet would be long gone. My guess would be it was something putting a constant pressure on the barrel, like stock contact changing the alingment of you scope or sights just enough to make the moa difference your talking about. In the lead sled the rifle is supported much differently than a bipod. My math of course.
your math is sorta right but there are two things missing. One, recoil is instant. Law of physics. Equal and opposite reaction. So the gun is moving Backward at the exact time the bullet moves forward. Two. Shock wave/harmonics. The shock wave that moves down the barrel is traveling at 25,000 feet per second, ((+/-) or 17,000 mph. So the gun and bipod react to the shot before the bullet has moved 5". Or Pretty much.
Harmonics is what we are tuning when we develop a load. The end of the barrel oscillates like a tuning fork while the bullet is in the barrel.