50 Hz white goods on 60 Hz supply

Would it cause any serious problems to run new (ie, modern) white goods (dishwashers, washers, driers, cookers) on a 60Hz 220-230V supply?

I believe the motors in the motorised appliances would run a bit faster at 60hz than at 50hz, thereby slightly reducing their lifespan... but would anything simply not work? and if not, why not?

There are many types of motor. Those with brushes or inverter control will likely run same speed what ever the frequency but as you say squirrel cage motors will run fast, where that motor powers something like a pump running fast will likely overload the motor.

Today time is often not dependent of frequency but where it is you would get a short cycle.

So dishwashers, washers, driers, cookers all have motors even if only to spin the fan in the oven and cooling fans and it will likely vary make to make as far as if it can work for an extended time at higher speed.

The fridge and freezer in most cases will be overloaded running at 60 Hz but there are now inverter models which likely don't care.

The major problem is manufacturers tend not to state frequency. My cooker plainly states 50 Hz as to if that's because of fan in oven, clock, or something to do with induction hob I don't know. Mothers oven also states 50 Hz, My freezer (inverter) does not even state the voltage. Mother hob states 50 Hz. Mothers washing machine states 50 Hz.

I have noted where on can use 50 or 60 Hz it normally states 50/60 Hz so I would say unless it states 50/60 Hz then you can't swap frequency. The problem is we have really no idea what is inside the machines. And manufacturers assume when sold in UK it's for 50 Hz.

The electronics in these appliances will also behave differently at higher frequency.