From a priest:
In the GILH, it is clear that a cleric meets his obligation if he
finds himself praying with a community following a different calendar or from a different rite (#242). Would this also include praying the Office with a religious community of the same rite who has a different order of psalms? Or should their provincial be informed of a wayward community doing their own thing?
I am pretty sure it would, for the visiting cleric who is doing as the house does.
However, if that house is not actually saying the Office their larger community has assigned, that could be a problem for them.
As a visitor there, however, I would not want to get involved with their internal politics.