my thruppence worth, if I may,
As it is, bearing in mind what has been said regarding it being out of the scope of reg and assuming protection is built in to the appliance in the form of at least a fuse then i see no problem with changing the plug or using an adaptor.
The appliance will draw only what it needs and the installation has a mcb and likely a rcd also
If it was the other way round where you were connecting a 32A rated appliance to a 16A rated installation then i can see the problem and the circuit would need uprating.
Surely this situation could be likened to downrating a domestic 32A ring main in order to connect a pc or similar?
btw greetings all, I am a 'newb' so if I'm wrong