Technically they are both correct. This most likely is a relay issue but these relays are integrated into the BCM. The issue we have is that this is intermittent, but it does sound like the relay just stuck on.
So as of now, if this is not acting up then there is no way to prove it was the relay and not the turn switch.
So, if it were me, I would not replace the BCM without knowing that this was the issue.
If we can get this acting up again then we need to simply check the voltage from the switch to the BCM on the gray wire. The wiring diagram is below to help with this and here is a guide that shows this type of testing.
https://www.2carpros.com/articles/how-to-check-wiring
If there is voltage on this wire, then your switch is closing the circuit and it is the issue. However, if there is no voltage then the BCM/relay is keeping the lamp on.
If this is a relay, it will most likely happen again. However, there is no guarantee it will happen again so if it were me, I would wait until this issue gets worse so that you are not replacing the BCM for no reason.
I attached the info below for your review. Please let me know what questions you have, and we can go from there.
Images (Click to make bigger)
Wednesday, November 17th, 2021 AT 9:42 AM