Thanks all for the thoughts. Some more context and an update:
Context - I did the work when I first got the bike years ago. They were very stuck back then and the work done helped tremendously. I just did the pads, fluid, and seal. Piston looked fine, and I think I had issues getting the one I purchased in (perhaps this was a mistake). I pretty sure I would have used brake fluid to lube the seal, and then the pink noise grease on the back of the pad. I did not replace the lines or the master as I thought at the time this fixed the issue. Which it did in the since was drivable and there wasn't an always-on front brake. The squealing started soon after, but only after the brakes were warm, and intermittently so. Sadly, I didn't ride as much for a season and half, but am back at it now. I live in Chicago, is my daily, and thus a lot of braking. The noise now is constant and more noticeable (and embarrassing when riding on a busy street). For those in the USA, I used the Common Motor Collective rebuild kit.
Update - I took the caliper off and spun the wheel. No friction or noise. So I think we are good there. I put the brakes back on, pumped the handle once, and the wheel definitely has friction. The adjustment screw was set loose enough for no tension. So it seems while the brakes return enough to drive without noticing the resistance, it is not enough to give a gap. I noticed the the pad were more warn slightly more on the front. Not sure what would cause this or how I could adjust....but seem akin to the last comment about the pad not being parallel to the backing plate.
Thoughts on next steps: How best to troubleshoot the pad return? Is this just a factor of rebuilding the entire system, master included? Or do I just need to focus on the caliber, seal and piston? I did but new stainless lines that I never got around to installing, so could do those as well. I am prepping to do the front suspension here soon, so I guess that would be the time as I will be into it anyway.