A topic of considerable discussion and disagreement. With rare exception, in cartridge rifles, I found free floated barrels always shot better, and more consistently, than any pressure point mounting. And, I prefer it in air rifles too. But, there is a large variation in the method of attachment of barrels to the action, and some are pretty fragile. In those cases, some support up front may be better. Barrel bands are also somewhat traditional. My Revere came with one, but there was no contact with the barrel shroud, so it offered no support, and was only a source of rattle when the rifle was moved. So, I removed it, it shoots no differently (great), and the nuisance rattle is gone. The Revere mounting at the shank end is relatively robust, so IMO, no further support is needed. And if it were, then a different band system should be used, since a free floating shroud inside the band does nothing, unless you prefer the look. Then there is the other extreme, such as the Taipan Veteran. The barrel screws into the action, just like a Remington 700, and the scope rail towers are attached with 12 large machine screws, all of which hold the barrel. You could drive over the thing and it probably wouldn't change the POI. There are two major differences when comparing air rifles to CF rifles; there is no contact between the barrel and the stock, and there is relatively little heat generated when shooting. So, you don't have the molecular movement to shift the barrel as in many cartridge rifles. It's kind of personal preference.