Thanks, Victor.
I suppose that speaks for itself - if Bruun was reasoning about the date he can't have been aware of any definitive source.
From the Arles campgates we can see the name change while the pearl diadem was in use (ARLP S-F -> PCONST S-F), before the rosette-DC (E8) bust in the following PCONST T-F mark, which obviously agrees with generally accepted dates for these bust types.
The name change must have happened at essentially the same time as the Trier mint apparently stopped the campgate series short, since the final Trier campgate, RIC 510, actually has a rosette diadem (E2), not the rosette-DC (E8) given in RIC. If Trier had been producing bronze in 329 we might have expected a rosette-DC to follow.