Case in point, about a year into the MedTech work, I was contacted by someone I knew at a large local cyber-charter school who was looking to build out a SWE team (as leverage with the other contractors they were working with). If I were a full time employee, the answer would have been 'Sorry, I'm busy'. But, as a 1099 worker with no set hours, I was happy to help them do interviewing to build out a core team. This lead to a long term advisory relationship with them, firefighting when things exploded, and also building a ton of automation and data governance back office utilities.
There have been some other tasks too, but if I had to boil it down to a few pithy points it would be to: play HARD to your strengths and be flexible.. But also don't be afraid to turn down work if you don't think you can hit it out of the park. Let everyone know that you're open for business too. A lot of organizations would be happy to have a problem solved without having the overhead of onboarding an employee.
This is predicated on you cultivating the level of experience and autonomy needed to get things done without oversight, or, in-fact, providing oversight of others trying to do 'the thing'.
My current challenge is in trying to move away from hourly billing and on to project-scoped contracts. Eventually I would like to build productized services and IP that make money while I'm asleep.. but who doesn't?
EDIT saw your reply. That's a great experience! I tried that but the timing / friends / luck didn't pan out there. I'm happy you got it working though :)
I'm ex faang and have managed to carve out a comfortable independant consultancy where I can kind of join needful organizations as a roving 'fix-it-up' engineer at large, answering to the directors who (hopefully) only care about things working better.
It's gratifying to swoop in and fix real problems for teams, and also get a view on cross team efficiency opportunities that most siloed org-structures don't have good visibility or agency to tackle.