Thanks for all of the replies, everyone!
I was having problems determining exactly what people were selling as "magnet wire". It appears that very little of the wire that Google directed me to is the
Ultra Pure Ohno Continuous Cast wire that offers 99.9999% (6 nines, or 6N) pure copper (or silver). For example, while Vampire advertises that their copper wire is continuous cast, it makes no mention of purity. (It may be that "continous cast" automatically implies a 6N purity level, but I never found such an assertion.)
Frankly, such purity may be pointless anyway depending on what spades are attached to the ends of the wire segments and the manner of their attachment. I just figured I'd at least eliminate one variable by going all the way to UP-OCC wire.
It also seems that 20 gauge is about as large a diameter magnet wire as you can easily find in any form of "continuous cast", whether 6N or not. It may not matter, but I was initially hoping for something between 12 and 16 gauge.
Of course, the email response from Neotech did indicate that while they don't offer such a magnet wire product directly to the customer, they could do a special order for quantities between 6000 and 15000 ft, depending on AWG. A bit much for my needs!

Thanks again for all of the responses, and feel free to pass along any other information you run across!