Missing notification on full storage

When transferring e-mails over from other accounts using Thunderbird, and before deleting duplicates and large messages, I was suddenly using 120% of my plan’s e-mail storage for a couple of days. As far as I can tell (testing with direct e-mails), my account could not receive e-mail as long as I was above the limit, which is OK, but I was not notified of this! There should definitely be an e-mail in the inbox from Runbox as soon as this block activates.

I don’t know if I have missed any communications, and could not inform anyone I was expecting to contact/reply to me in this period. Further, I could not find any information on this inbox blocking in the Runbox documentation.