That classification already exists.

https://en.wikipedia.org/wiki/H-1B-dependent_employer

... and is done for these employers already (though not to the level that is being proposed)

    Public Law 114-113 (December 2015 to September 2025) : additional fee of $4000

    Public Law 114–113, part of the Consolidated Appropriations Act, 2016, imposed a fee of $4,000 on H-1B petitions and $4,500 on L-1A and L-1B petitions. The additional H-1B fees would apply to all petitions postmarked on or after December 18, 2015, and until September 30, 2025.