There are some possible issues.
The rivet patterns are the same but the rather more delicate Tri gear uses smaller diameter ones, is recessed one side to set the ATD deeper in towards the magneto (lack of space under timing cover, I think), and the centre bolts are consequently different lengths. Probably NOT a plan to enlarge the rivet holes given how thin the fibre 'hub' section is compared to the Beesa one. (Edit - If one were going BSA to Tri, that is, natch)
It isn't a completely straightforward swap to convert owing to the diameter of the recess not accepting the thick base washer for the BSA type ATD which anyway has holes too large for Trihard rivets. (Edit - which says some bits on the Tri unit are different). But with some work it could be done if need be. Easier to go the RD and Colsbeesa routes (see previous threads) to extend range of movement of the thing though, I think, if desired.
(And if using a BTH one, I think that would have to be slightly modded too, in the same areas, but haven't got one to look at and haven't tried.)
Why can nothing ever be straightforward!?