Thanks @molesy94. It's much appreciated.
I finally paid the access fee for erWIn and took the time to read all the TPIs applicable for my VIN. I'm glad I did, because there's now a TPI that covers the software update to 0531 on the climatronic module from versions 0341 and 0440 on 2021 cars.
The TPI number is 2072423/3 and it's dated 22-Nov-2024.
It still doesn't list the exact problem described in this thread in the customer statement section, but it does describe another problem that I have experienced - rear heated seats spontaneously turn on without any interaction. A copy of the TPI is attached.
Now that I can provide a TPI number for this problem to the dealer, I am more hopeful that they will do it for me.