Addresses with a "plus" element in the left hand side, a.k.a. sub-addresses, are effectively the same as the address without (the "naked" address), e.g. A.Non+Mozilla@example.com is equivalent to A.Non@example.com. Thunderbird should handle this intelligently, including some or all of
Handling replies may be tricky as senders will sometimes strip the name and change the case of the address. Ideally the address would be constructed as configured for the account with the addition of the plus element which can be easily edited in the composer. For instance, a reply to a.non+mozilla@example.com would be From: Another Non <A.Non+mozilla@example.com> with the composer providing an easy method to change mozilla to Mozilla (or anything else).