These figures do not tie up. The Bureau of Labor Statistics says 33 per cent of state and local government employees can get same-sex partner benefits but private sector workers, the figure was 29 per cent. Given the latter outnumber the former at least 2:!, that means the overall must be nearer 31% or lower which is not 1/3rd of al; US workers.
Later the story provides further figures, in which while half of public sector workers – gay and straight – have access to survivor benefits, just seven per cent of private employees do. Some further analysis is needed.
This is just misinformation. I don’t know a single gay person who receives benefits from their spouse. Not one.