Not really, most late Mini's that come into my place have had their standard run-flats replaced with normal tyres.
Is recommended though that if you do change them, @ minimum, do an axle set, or better, all 4.
And remember to invest in a tin of tyre-weld.
Remember as well that a run-flat can only be used in that condition for about 60 miles, then they are meant to be scrapped. Also, they should not be repaired (that is the official line anyway)