You apparently don't know too much because a b20 doesn't have "thinner" sleeves compared to other B series. The material is the same, the thickness is the same, the difference is how the sleeves of a b20 are installed from the get go. the b20 has a 1 piece sleeve design compared to other B series having a single sleeve design. Also most companies that sleeve motors would prefer you to send in a b18 block compared to to a b20, just a heads up
As for b20's handling boost, yes they do. Search Honda-Tech for turbo b20 or boosted b20 setups, there is a huge thread on there of nothing but turbo b20's
Also my DD b20t made 302/256 on 13lbs and motor is still running 3-4 years later in another chassis.