That's what we did with our December 2015 F54 Mini Graham after the 3 year free servicing contract ran out. The problem is its unlikely independant specialists will have BMW head office backing so will be unable to update onboard service records despite having the OBDII tablet that allows updates on coded parts, resetting charge profile after new battery etc. This leaves you with a frustrating service overdue warning at every start up.
We are still waiting for a massive recall on diesel B47 engined cars concerning EGR valve, despite it coming up to nine years old, so may have them look at this issue then.