I am afraid I know nothing about Facetron.
From photos, it looks like it should. I assume what I have is what is currently described on the Ploymetric OMF page “Adapter slotted slide plate for upright masts that are held to their base with a carriage bolt or similar system. Fits most major brand masts on the market today.”
I have a Fac-Ette and for my needs, they provided a post on a base that worked with the slot so that I could move the protractor/mast piece from the Fac-Ette to the OMF.
Perhaps someone more familiar with OMF and Facetron can chime in on this.