antique scholars these days are actually saying the barbarian 'arians' were all homoeans which was the compromise position between arius and the nicaeans. the goths had converted under Valens to his creed which was homoean--so their religion held a certain imperial clout and acceptance--until the goths killed Valens at adrianople and the throne passed to stricter nicaean partisans.

but even after this there was very little prosecution from romans to barbarians about their creed, the main difference we know of it fact being the gothic language being used in church vs latin or greek. romans saw barbarian 'misunderstanding' of religion as the fault of the roman missionaries who'd mistaught them. the notable wave of prosecution surrounding barbarian homoeanism was actually the Vandals in africa disestablishing & (exaggerated by the romans) prosecuting nicaeans.