H1Bs are limited in number only 64K and they are assinged by lottery as around 300K people apply for them. Also you need to start applying in January and you can come only in October. Escorts often need much faster recruitment and short contracts.

H1Bs are used by people from what establishment sees as "undesirable" people such as Indians and Chinese and hence there is far too much red tape and confusion there. Senators and Us Reps aren't going to take their route for their side chicks.