I'm not sure what part of my comment made you think that my current employer is an obstacle in job hunting. Actually it's quite the opposite, as I mention I get a lot of attention from recruiters even though I'm not actively looking. The issue I'm observing is that this attention doesn't clearly translate to more job opportunities.

If my current employer was the problem, wouldn't recruiters and hiring managers not bother reaching out, or reject my applications (I haven't applied to any job directly recently so I can't say).