Some of the Supermicro boards don't even have a separate BMC NIC, the only choice is to bond it to one of the main NICs or sacrifice one of them to be BMC only. I try to pay attention to that now after being surprised by that once on some servers we bought.
Yes, all of which can be reversed by another admin in the future. That is expected.
It should not be the case that getting admin access one time can result in modifying the hardware in a way that can’t be reversed by future admin, short of physically reflashing the chip on the board.
If you have admin on windows you can flash the bios on regular motherboards with firmware that refuses to change.
The vendors even sell this as downgrade prevention!
What chip are you using to bit bang? Is that chip directly or indirectly controlled by the firmware? Usually it is.
True in the common case, but this can/should be guarded against by disk encryption and secured boot chains.
More generally, when you get down to the bottom of the pile of elephants, you are requesting some software currently running on your computer to write some bits to some kind of storage medium.
But there is no law of physics that says the software must to do as you ask! If the software is malicious, it can refuse. It could even pretend that it updated the bits but not actually do so.
"Oh, but I booted into $OTHER_PROGRAM and it writes the bits!"
Maybe. But how do you know that the boot loader faithfully loaded it? You don't. Maybe the boot loader is malicious and patches your firmware updater so that it won't actually write new firmware.
If you squint and tilt your head, it kinda looks like Ken Thompson's "Reflections on Trusting Trust".