They should be able to fix a puncture of the kind you described. I thought RFT are basically the same as normal tyre except with stiffer sidewalls?
Before i pulled the trigger on the 328i i researched how to deal with punctures to ensure i was comfortable fixing RFTs if i was in a remote area. I will definitely buy this type of repair kit. This guy incidentally was repairing a tyre on a bimmer.
This looks relatively straight forward and no different to what a tyre outlet would do.