For once the answer is easy. No. All such examples are unofficial. A few years ago I wrote a paper detailing the anepigraphic issues of Constantine. My database includes nearly one thousand anepigraphic "coins". Antioch dominates, of course, with 564 examples.
They were in fact not coins but propaganda tokens that could also function as coins because they met the weight standard of the contemporary coinage.
The Constantine I unofficial Trier examples with star are rare, I only know of four. There are also a few examples with wreath.
An example very similar to the dionysos example was published by Harlick in the Celator in 2007.
My paper can be found on Academia and on ResearchGate: Ramskold, Lars, 2013: Constantine’s Vicennalia and the Death of Crispus. In M. Rakocija (ed.), Niš and Byzantium, Eleventh Symposium, Niš, 3–5 June 2012, The Collection of Scientific Works, XI, 409 – 456. Niš, Serbia.
Or I can email it to anyone interested.