Maybe I got caught up in the assumption you wanted to eliminate those fliers and help improve your precision - why else do load work up and measure groups if not, right? So forgive me for trying to pass on advice you didn't ask for to try to help you improve.

It takes an open mind and enough willingness to give it a chance, but it also DOES NOT take a $1,500 front rest to produce a better platform than a backpack.

The suede under your rubberized grip needs to go. Running a slick butt grip on a slick leather rear bag to let the revolver "ride" the bag, you'll eliminate that bag jump you're seeing when using a rest. Using a proper rear bag and a slick grip rider, I get very little difference in precision potential between my Sinclair Varmint machine rest and the cheap MTM, just a lot longer set up, and a lot more re-set time to get back on target. The rear bag tends to make the greatest difference.

I was shooting an XP100R in 1996 over a set of X-bags, didn't learn how to shoot from a machine rest until early 2000's, been in your shoes. Took me a long time to realize there really didn't need to be so much of an offset between my hunting rifle and specialty pistol groups at short ranges.