Captain Holt is openly gay in Brooklyn 99 and has a rainbow flag on his desk:
In 4th episode in season 6 of New Girl "homecoming", we see the main part of the crossover episode with Brooklyn nine-nine.
Jess has an interview with Captain Holt in his office, and his rainbow flag is not evident, nor are other rainbow references visible:
Is this likely to be deliberate, or just the way cameras/set rigging happened to capture it?