Wait a minute, there are cases where this is required? Chacha20/Poly1305 is not one of them, right?
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Another I have personally seen was using the session key for a Wegman Carter hash (such as Poly1305). I received an email suggesting I do just that in Monocypher, to avoid using up the beginning of the key stream. Didn't realise why this would lead to instant key recovery.
I have since littered my manual with scary tales of total annihilation of security.
In particular: you can easily end up with AE w/o AD by doing DIY ETM, and end up with serious exploitable bugs.