At this point MCH is better than BRD in DPS, CC it is offering and for the most parties in DPS support too (most of the parties have 2 melees, not 2 casters).

Yeah, apart from Foe + BV BRD has RoD and Wanderer's Paean, but they aren't such a big deal. I am filling for a MCH for 2 months in A7s progression static and having Wanderer's Paean is a positive change for their healers but it is anything they couldn't live without.

BRD might get boosted in the future, but I wouldn't expect it fast, lots of people still believe BRD is on par with MCH or even better, which delays any balancing (as most of the balancing is done as an answer to feedback). According to FFlogs (which offer actually really good statistics even when there is some padding happening) the amount of MCHs in endgame raiding teams is doubled compared to BRDs.

If you have the time to level up MCH and still aren't too much familiar with BRD (I have played BRD as my main since 2013 so I don't feel like switching only because they overpowered MCH) I would suggest switching to MCH. Most parties wouldn't mind taking BRD, but why risk it when you have the possibility to go for better?