Ah the famously friendly UX of PGP combined with the solid reliability of email. This is trying to get two drunks to stand up straight by leaning them against each other.
They've actually cracked PGP, and email is fine, especially between self hosters and anyone using chatmail. I've been using it for years: Delta really, really works.
PGP has been cracked when you use it with automation in that you can steal keys slowly by relying on the meta-behavior of systems around PGP. A classic attack here is timing how long it takes for a PGP-based automated system to reject your messages.
PGP is intended for the classic "used by a human to encrypt emails manually" flow and is actually insecure if you automate around it.
the timing attack you're describing is extremely common -- not unique to PGP -- and simple to mitigate. do you have more literature about the attack, or attacks, that you're describing?