> Doctors and hospitals control some of the more powerful lobbying groups in the United States making it a bit strange they haven't worked on those issues.

Doctors and hospitals are not necessarily aligned groups (either with each other or with nurses) on the issues, and private insurers, state governments (as market participants themselves, via operating public insurers such as Medicaid agencies), and other players are also very powerful lobbies.

"Doctors and hospitals" are not nurses and do not seem themselves as akin to nurses.

It's like asking why most software devs don't go to bat for technical support people.

Why when they get paid/further protected by it?

It seems the byzantine regulatory compliance software lobby is even more powerful then