I think a Genie is a Genie as far as DirecTV is concerned. That means you could get a 34 or a 44. Just like an HD DVR is an HD DVR, so you could get an HR21, HR22, HR24.
As to what may or may not be available in any particular market, I don't know. That changes pretty regularly.
A genie is a genie but during the 1st initial phase for the markets in the "beta" a genie will be an HR44