I had a couple of heritage Rhode Island Red hen x Bresse rooster crosses that came in right at 4 lbs, though. Looked like Bresse except with a ginger tinge to their back feathers from the time they started feathering in. It could be hybrid vigor, it could be their momma's heavy-ish body type, it could be their inherent RIR assertiveness when it comes to food (and everything else), but they are solid; generous in the thighs and breasts in comparison to all the other dual purpose birds I have. Still pale next to the Cornish Cross, though.
These RIRs are the last of their line for me unless I can find either another heavy RIR rooster or a decent clutch of eggs from someone who has a good heritage line. The hens I hatched out were allegedly from a line with ancestry including Henry Noll birds. Whether that's true or not, none of the RIR roosters I've seen have had the stockiness and density of my hens.