I cant comment of F1's on a MINI (still have the runflats

), but I have run them on my old vw golf gti mk2 and a fiat coupe 20VT.
I ran the 'old' GSD2 pattern on the golf and the 'new' GSD3 pattern on the coupe.
Whilst the GSD3 is a newer version they are both still available , its just that they tend to spread the coverage of sizes between GSD2 and 3
Ignoring the differences between car power and weights etc I LOVE these tyres in both sizes. They are truly amazing in the wet. A true high performer for all season driving.
They are good in the dry but ultimate dry grip is slightly below what a yokohama would give.
Im assuming you do get some rain ?
IMHO the GSD3 has a slightly softer tread and wears quicker.
For me I prefer the GSD2 's but you are usually fixed by the size you want which dictates the gsd version you get ...
Buy them , fit them and use them , you can always sell them on or chalk it up to experience if you really dont like them.
HTH
JohnO
p.s. I live in Scotland so its a wet climate with a low average temp (even in summer!), so if your climate is vastly different you may want to reconsider.
When I ditch my runflats I will go to F1's , sadly the F1 runflats are WAAAAYYYY too heavy....