Good to know, Ed, that you've personally tested them all and found them wanting.
Except you skipped mine---which is accurate to within 1 degree at any setting, comes with one large and two small baskets, and does the job as well as any commercial fryer I've used. Been using mine more than two years, now, and the element has shown no sign of burning out.
Big Al: Problem is, you've got contradictory requirements. For example, many (most?) of them are as ugly as homemade sin, and are the antithesis of attractive on the counter.
Cleaning is always a chore. Even if the unit is microwaveable, you still have to empty it. If it were just a matter of pouring oil out of the fryer hopper that would be one thing. But keep in mind you straining it as well, so as to maximize use of the expensive oil. Time consuming, if nothing else. And awkward in the larger-sized units. And, of course, the heating element has to be hand-washed regardless.
That said, if you do a lot of frying, and have the room for one, they can be a great addition to the kitchen. I used a cast-iron kettle and thermometer for years, and my biggest problem wasn't actually frying, or even clean-up. It was maintaining the proper temperature. With a built-in thermostat, that's no longer a problem.
Based on my experience, I'd say the inclusion of multiple baskets is more a marketing ploy than a realistic aid. It sounds good to have two baskets, so you can fry different things at the same time. But, frankly, in the two+ years I've had my unit I have never used either of the two smaller baskets. So weigh that idea carefully.
Also consider operating cost. The larger units require a gallon or more of oil to operate safely. In theory, and depending on what you fry, you can get as many as five uses out of it. But I've never gotten more than three, even filtering it after each use.
So, as with anything else, there are pros and cons. But, overall, I glad I got mine, despite it's drawbacks.
They have taken the oath of the brother in blood, in leavened bread and salt. Rudyard Kipling