Dale. I feel that I must respectfully disaggre with you regarding the warming up of .22 barrels. It has been my experience of over 50 years of small bore shooting, both indoor and outdoor that MOST barrels require a few shots to warm up the interior of the barrel. Not that the barrell will get hot as you note (in direct sunlight). Having shot at many different locations in the States, Ceneral and South America I have found that the rifle will place the first 2 - 5 shots in a different location than the true zero location. I routinely fire 5 shots "INTO THE HILL" before going to my target. I have had many rim-fire rifles from a early Winchester 52, a Winchester 52D, Several Anschutz, Remington 40x and two BSA Mk II and MKIII which I still have and shoot. ALL preformed better with warm up shots. I beleve the heaver target barrels tend to reduce or eliminate barrel vibrations and does reduce warming in a long shoot. AS far as the centerfire barrels being heavier there are several reasons. Resist getting hot, regidity for much reduced barrel "whipping", reduced recoil, and they look "neet"!
My BSA MK111 using Winchester MK3 ammo will and has shot many"possables" at 50', 50yds, and 100yds. I think I shot a 247 one day at EG. (3 leakers)

Much Fun all the way around. I still have several bricks of MK3 and NO, it's not for sale!!!
I also beleve that many fine .22 rf target fifles have been ruined by over cleaning. I only clean once or twice during a season and then only with a patch with Hoppies and then dry. It takes several rounds to bring it back to true zero. Always clean from the breech end!
I hope to resume my shooting shortly after my eye surgery this Friday. I will be in touch. Don't forget my photo prints. 4227