This problem has been solved for a century, in the form of the practice which employs support staff, sometimes a multi-practitioner practice which shares those staff.
PE rolling into it has been a very recent phenomena.
Regardless, running a business has always been more hassle than it's worth for people who would just rather have a job. But it has been worth it for those who prefer independence. If you wanted to claim that things were radically worse, you could take a swing at it. But given the rise in communications, computers, SaaS, and service outsourcing, there's a strong case to be made that it's much easier to run a professional service business.
And I think the just-want-to-do-the-work thing is a bit of a red herring. I was recently talking with an optometrist whose joint practice was sold to a PE firm. His precise complaint was that PE was interfering with just doing the work, which he saw as helping patients.