At the risk of turning this into another one of those "North America does what?" threads, which are never very interesting, the device you depict is the normal sort of washer/dryer available over here, and they cost about the same as a normal washer plus a normal dryer. Here is a full page of them, though not all of those are non-vented ("condenser"), and of course none of them, being UK models, are 120V. They certainly aren't thought of as "compact": all washing machines are that size.

I think the ventless drying works by heating the air (so its relative humidity goes down), passing it through the load (so water evaporates into the dry air), then cooling it (using cold water) so it becomes supersaturated and the vapour comes out as essentially dewfall which goes down the drain, then repeating the cycle. It apparently can be designed to use scarcely more electricity than traditional drying, but it does use more water.

Peter