Get an old Craftsman from the '60's. Some of those were super thin - 1/2 drive, deep well, full length broaching. Almost scary thin, especially compared to modern "thin wall" impact sockets.
Few years ago I required a thin wall socket to remove a 15/16" recessed hex nut from 48 electrical cabinet. The only one suitable was from this ampro set
T45981. This is a go-thru spline drive socket suitable for 15/16" or 24mm & unfortunately it was not available loose.
This one measured 31.6mm. My 24mm Metabo-Rheidco and Gedore sockets measure 32.7mm & 32.5mm.