Surely you have to make sure that the cable to the machine is protected from short circuit though. It would have been sized as such with a 16A plug making sure that it is never plugged in to a circuit above 20A but you now have a 1.5mm cable on a circuit rated at 32A or above. Overcurrent is protected against because you have a fixed max load, short circuit/earth fault on that cable needs to be protected against and you'd do this by ensuring that the cable is suitable for this. The machine will have its own protection within so it's purely the supply cable with the new 32A plug that I'm concerned about. Would you concur?