3rd wire...
Hi, I have a W1213, the last of the domestic 240V machines Miele made for N. America. It is wired 4-wire but, in my explorations, it is really 3-wired.
I'll explain: this machine only uses 240V so, because each hot is at 180 degrees from each other (in frequency), the Hots cancel each other out. No Neutral is needed, as with regular 120V things. So, in my case although there are 4 wires on the plug end, inside only the Hots and Ground are connected. They tie-off the Neutral inside, therefore it does nothing. And, because the previous owner cut the plug off mine, I've actually replaced the plug with a NEMA L6-30--meaning it's only 3-wire but the plug has to be twisted to remove (that's what the "L" stands for: locking) it from the socket. Just as safe (actually safer) than what Miele supplies and it's only 3-wire.
Now, with some appliances, there are both 120V and 240V components inside. In those cases, 120V items will use the Neutral pin and 240V items will use both Hots to complete their circuits.
My Miele is 100% safe without the Neutral (it still has a Ground for safety) as both Hots, being different poles at 180 deg. complete's their circuit.
Now, I don't know why Miele didn't just use the proper NEMA 3-wire connection in the first place, probably because the 14-30 (dryer plug) is more ubiquitous. But, dryers are meant for 30 Amps, and really you should use a 15 Amp breaker/fuse as Miele requests as their appliances only use that much. And if some fault were to happen and your washer tried to draw more than 15 Amps (because you left it as a dryer 30 Amp circuit, a fire could start in the machine as there are probably components only rated for 15 Amps. So, what I'm trying to say is that people would need an electrician in anyway, to change the breaker panel, so they should have used the proper plug.
I haven't seen the Asko plug, but if the are using current standards, then their 3-wire is most definitely using a Hot, Hot, Ground (not Neutral) configuration, which as I mentioned above is perfectly safe. And they are probably using the proper NEMA plug too. Those old 3-wire dryer/stove plugs were Hot, Hot, Neutral (no Ground), but their pin-out arrangement (the way the pins on the plug end of the cord) is different and incompatible with the modern 2-pole, 3-wire plugs of today.
You should look-up NEMA plugs on Wikipedia for a good explanation of how it all works. And, it's pretty easy to understand.