RW wrote:

The others were from bots as far as I could tell but they were not
being sent by MTAs which had received them.


Yes, but the OPs problem is back scatter, and that does not come from bots, they don't retry.

$ man spamd:

DESCRIPTION
     spamd is a fake sendmail(8)-like daemon which rejects false mail.
     It is designed to be very efficient so that it does not slow down
     the receiving machine.
..
..
     greylisted hosts are redirected to spamd, but spamd has not yet
     decided if they are likely spammers.  They are given a temporary
     failure message by spamd when they try to deliver mail.


Greylisting works brilliantly for bots, but wont help with hosts that retry, as is the case in back scatter.

If the OP was repeatedly getting mail to a few addresses from different hosts, he could use grey trapping. But he said that they are all random.

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