Rated 4 out of 5 stars

Από τον/την Mr. Relay στις Ιούν. 12, 2023 ·

Becomes a pest because there is apparently no way to have it ignore "disabled" accounts. Unfortunately, the same behavior as TB "Get All New Message". Attempts connection on every account (which prompts for missing pwd) Should check if Account has "Check for new messages (x2)", "Auto download new messages", or "Fetch headers" properties set since TB doesn't actually have a "disabled" account setting.

FWIW, setting server name to an invalid host renders a workable solution. No nags about being unable to connect. Just add "-disabled" to host name, e.g.

Αυτή η αξιολόγηση γράφτηκε για παλιότερη έκδοση του πρόσθετου (3.0.0). 

από τον C-E (δημιουργός) στις Ιούν. 12, 2023 ·

In the description of the Add-on you can find: "When clicked, it does the same as the default button "Get Messages" dropdown menu entry "Get All New Messages".
So your review is not applicable to the Add-on but only for Thunderbird itself.
If you find the behaviour of Thunderbird inadequate, you can file a bug here: https://bugzilla.mozilla.org/describecomponents.cgi?product=Thunderbird