There was another Lucretius who was a "moneyer", a private individual permitted to mint coins. His name was Gneius Lucretius Trio, and its all over his coins. But in his case it was "CN LVCR".
I think I'll post my slides now, but I can still go through them later. The critical source was one I stumbled on by complete accident or really good googling, I'll let others be the judge
You can download the file from Swisstransfer here:
Edit to add: Cassius has informed of errors, see the new link in post #28 below.
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