There are always issues. Here's a synopsis:
Using a 6-50 to L6-20 adapter like you describe:
1. The car will continue to try and draw 32a, which is too much for the L6-20. You'll have to manually dial the current down to 16a in the car.
2. You are defeating the temperature monitoring as mentioned above.
3. You'll be unplugging and replugging the 6-50 at home daily, which is not great.
Using the
L6-20 adapter from EVSEadapters fixes the above issues, although I don't think plugging and unplugged the adapters from the UMC or leaving the 6-50 adapter hanging at home is good, either. Here's my personal take:
1. If you don't need to charge at work, then don't. Just leave your UMC plugged in at home. It's not worth a few free electrons, in my book.
2. If the need is occasional and you can predict in advance when you'll need to charge at work, get the EVSEadapters L6-20 adapter, and use it when needed.
3. If you truly do need to charge at work almost every day, then either get a second UMC or a wall connector to leave permanently at home. Get the EVSEadapters adapter and keep it and it's accompanying UMC in the car.
4. Convince the powers that be at work to install real EV charging.