I have seen the same thing on the very day we collected our new LR face lift.
We about 60 miles into a 100 mile trip home, when my wife said :-
"Should this yellow light, in the door mirror ( N/S ) allowed to be ON all of the time".
Sure enough the blind spot monitoring light was constantly ON.
Then I checked the drivers mirror and it was the same !.
It was perfectly fine for the first 60 miles of the trip, but decided to act up ?.
We drove another 10 miles, to the place we intended to stop for some lunch.
I parked the car and as soon as I powered down the car, both mirror lights went out.
We returned to the car about 40 minutes latter and all was fine.
That was on the 18th March and it has not done it again ( yet ).
Some type of bug in the system I guess.
Another one I get, is the App sometimes reports that my drivers door window is open, when it clearly is not, when going a system check on the car.
Another bug at work !.