Lots of my friends in this point of their careers are having a hard time moving. Everyone is looking for a senior SWE. No one wants to really pay for it.
Also, as a recently returned American expat. It was really, really hard. Things that were important to me while working in Europe, like GDPR, had no equivalent in the US. I turned to old alumni friends to get me in the door. That proved more effective than spraying resumes.
> I'd expect to be more hireable as my career progresses. But this doesn't seem to be happening.
As people progress in their careers, some have valuable experience and acquired skills to show for it, others only have a few additional gray hairs to show for it. That's why there's always skepticism about people no matter what stage their career is in.
The questions all of us need to ask ourselves is: "What in my resume shows that I'm in the former category rather than the latter?" and "How can I prove it?"