> One of their line items complains about being unable to bind 65k PostgreSQL placeholders (the linked post calls them "parameters") in a single query.

I've actually encountered this one, it involved an ORM upserting lots of records, and how some tables had SQL array-of-T types, where each item being inserted consumes one bind placeholder.

That made it an intermittent/unreliable error, since even though two runs might try to touch the same number of rows and columns, you the number of bind-variables needed for the array stuff fluctuated.