Just checked again
So, let's go through this step by step.
With a split 240V connection, there is no question the machines would be fine.
On 120V, you either have a 15A or a 20A breaker.
A 15A circut can support easily 1800W, a 20A circut 2400W.
We have to go from the same route that these would run on an independent circut that they have to their own or only share with minor other loads (light bulb or so).
That would only make sense as even American laundry appliances should load out a circut pretty significantly on their own.
Now, if we assume the dryer uses an A++ heatpump design copied from the EU, cycle times are far over 2h for a full load with less then 2kWh used, so the total continous load should be less the 1kW.
This means that with a 20A breaker you will be most definetly fine.
On a 15A circut, it might get tight.
If the dryer pulls 700W as normal running current, and the washer keeps itself to 1100W (which it should be abled to at 900-1000W heating power), we are ever so slightly clear, and as the washer should never heat for more then an hour, the 20% rule does not apply.
Further, I suppose that Miele could use some technologys to reduce peak current when for example the heatpump is starting up.
Electrolux (under the AEG brand) manages to sell dryers at peak usage of 700W here, mainly because they heavily rely to inverter technology to my knowledge. Starting a heatpump that is not controlled can spike the current a lot, same with a motor.
Inverters can start at low voltage/low amperage and slowly ramp up both to prevent that spikeing.
So I think it should be doable as long as they are alone on a circut. As soon as they share their circut (kitchen for example) there is basicly no chance of that.