My team uses Exchange 2010 as mail server.
I had some problems with Thunderbird and deleted my accounts data from it, and used the web interface for some time. I moved and renamed a lot of folders. Now I re-created my accounts, it accepts my login data and shows the old folder structure with the previous names.
After some experimenting it seems that if I move or rename a folder in Thunderbird, the web interface shows the change, but if I move or rename a folder in the web interface and then try to open it on Thunderbird, I get the following error message:
The current operation did not succeed. The mail server for account [name] responded: INBOX/[FOLDER] doesn't exist.
I can still open the inbox and I receive new emails just fine. I can use any folder on the webmail.