I don’t see this being the reason. The thermostat could be working properly but the fluid could be retaining heat differently, or the system could no longer be dissipating heat the same, or the trans could be building heat more than it used to.
In all of those, the fluid temp could rise with the thermostat working as it should. And that doesn’t explain why the temps would reach highs it didn’t before, with a good working stat. If the stat was only opening later (say 4 degrees), the fluid and cooler should still cool it down to what it was if they are all operating the same.
It seems more likely some combination of fluid quantity (esp since that is difficult to measure) and efficiency in the trans cooling (200k worth of bent fins hindering air flow).
A failing thermostat that's not opening all the way will do exactly that. The thermostat is designed to open at a specific temperature so if your gauge is seeing 205 your thermostat is also seeing that same 205.
Other causes could be more slipping could be happening due to the clean fluid, that could be generating more heat. Reason why is when you drain old fluid it has a small amount of worn friction material suspended in there helping the trans grab, the new fluid does not have this so you get a little more slip. Try an adaptive trans relearn to see if it makes any improvements. Remember all these modern vehicles slip the locked up torque converter about 50 rpm at "full" lock, that's why I tuned my Fusion and will my new Expy.
On the old 200k mile trans they say leave it if you never changed it because that suspended fluid is your friction material now.