FWIW, the CCS charging protocol is more complex than that used with an EVSE. Two of the pins normally used for acv input get repurposed to be data lines. Throw in the fact that the CCS plug and cable is heavier, and you need all of the pins to be making proper contact, and that the latch may be slightly off, means that properly activating a CCS charge may be a bit more problematic than when using an EVSE. That's not saying that it shouldn't be seamless, it should, but it may not be. Throw in that there MIGHT be slight variations in the communications protocol, they may not play together well all of the time.
While my i3 has it, I've not found occasion to use a CCS unit, so have no idea if it would work or not. I've only used a couple of EVSEs outside of my own, so not sure if there are differences there, too. That protocol is much simpler than the CCS one as there's no digital data being exchanged, only analog signals.
2011 535i x-drive GT, 2014 i3 BEV
Soon (hopefully!) A 2021 X5 45e will replace the above