Absolutely 1000% but the poster said "I'm trying to build up a collection of quirky, cheap recording amps" and the major problem is recording the sound from that speaker onto a recording.
Sometimes you can throw an SM57 in front and capture what you want, other times you need £1000s of different mic's.
My mate has got a Fender Twin 65 and TSL601 he uses on stage.
The other week he tried to capture his SRV sound in a studio and after ages the engineer put him through a POD.
And yes, the engineer could have been crap.
I hear what you're saying and agree for me though, the actual process of trying different mics in different positions and experimenting with stereo effects and multiple amps is sometimes more fun than playing

That said, I'm looking into the Line 6 Spider Jam.