I believe you are correct. It very well may be the same car.
If it is, one thing for sure, the A/C probably doesn't work. Or if it does, not too well. Looking at the old BaT pics, the compressor bottom has oil all over it and down on the upper a-arms and frame appear to have oil spread around on them. Which says to me the O-rings on the compressor body are/were leaking. Common issue. Probably very saveable, though. It's a 198 compressor, so it very likely has a single lip shaft seal too, which is also prone to leaks.
The biggest issue with any of those pancake compressors, besides the body O-ring seal leaks, is that the sealing rings on the pistons are partially exposed at their lowest point. And they SWELL UP. If you've ever taken an old R4 compressor sitting around for years, even a new or rebuilt one, sometimes you'll think they're locked up. They just need a little massaging to get them moving again. Whatever you do, though, DO NOT use the 9/16" shaft nut to turn the compressor. The skinny little shaft end could break or threads strip out if it doesn't want to budge. Use a compressor holding tool to start rocking it back and forth. Working enough with it, you should be able to get it rotating.
It would be great to own the car, but the issue is you're paying a premium for the ultra-low miles, and you'll lose that premium if you drive it around and rack up the mileage. So you pay $50K, and end up with a $20K car in a year. Is it worth it? If you got money to burn, go for it. But this kind of pricing means it's now a museum piece for many, I'm afraid.