FYI: here is the help page explaining how to enable push email, as in Thunderbird gets the mail pushed from the server when it arrives, in stead of Thunderbird pulling the information on regular intervals.https://support.mozilla.org/en-US/kb/configur...
I was also looking for this functionality, and found this issue first, later I found the help page that seems to indicate what I wanted: thunderbird gets emails immediately 'pushed' from the mail provider as soon as they arrive without having to wait...