bde ,
I have a 2023 M40 with the M Sport Differential. I am also running the same size winter tire as you, but mine are Michelin X-Ice SUV tires.
I have not had any issues this past winter. The differential is basically a limited slip as I understand. The tire size doesn't matter so long as its the same size on both right and left.
I also have the factory spare, which is way smaller in diameter....if used in the rear, the car must figure out how not to blow itself up....at least I can only hope
Regards, George