Scenario:
Someone uses thunderbird to manage her various email addresses. All of those contain her real name (work, university, ...). One day, she has need of an anonymous email account and so creates one, which she only connects to via Tor Browser. This is a little inconvenient, however, so she decides to make use of the torbirdy add-on so that the traffic is routed through Tor.
Question:
If Thunderbird now channels all emails through Tor, don't the real-name addresses revoke the anonymity that torbirdy aims to provide?
Note:
1. A somewhat similar question has been asked here. The accepted answer makes me think that the answer to my question might me in the affirmative, but it is different enough so that I am in no way sure of it.
2. In the wiki entry for torbirdy on torproject, the possibility of using addresses containing real names with torbirdy is mentioned. However, it only says the following:
Please bear in mind that email accounts that have been used without Tor before offer less privacy/anonymity/weaker pseudonyms than email accounts that have always been accessed with Tor. But nevertheless, TorBirdy is still useful for existing accounts or real-name email addresses. For example, if you are looking for location anonymity -- you travel a lot and don't want to disclose all your locations by sending emails -- TorBirdy works wonderfully!
This does not answer my question since I want to know if anonymous addresses (previously only connected to via Tor) lose their anonymity when used in the same Thunderbird instance with non-anonymous addresses.
Side question:
This might be related or not, but I seem to recall reading somewhere that you are not supposed to use Tor for things like online banking where you have to identify yourself, because it compromises your anonymity when connecting to other websites after that (without requesting a new circuit). Is this true or false?