If your account is banned do your auto reply(canned responses) stop working? Coz that would be a proper stop gap to tell important people(job offers/contact requests for eg) to your website/email you actually use etc.
Presumably it would be set up before-hand? If you preferred the other email, you might deprecate the gmail account and set up an auto-reply for all traffic to update contact information. It would require giving up gmail early. The question would be if auto-reply keeps working after being banned