I don't see any reason at all why you could not use a table saw to hog out the waste. I have heard of people using tablesaws, bandsaws scrollsaws and all manner of things to hog off the waste between dovetails.
With that being said, personally I have found that once I got the hang of dovetails and had enough practice so my it was just a matter of my mind thinking mallet and chisel instead of "oh my word, I am doing dovetails, I got to do this just so", I could chop them out pretty quick.
Now I don't want to sound like a neanderthal here, or some kind of super-woodworker, but I think its faster for me to chop them out by hand with a mallet and chisel then it would be to do any kind of set-ups with a tablesaw, bandsaw or scrollsaw. I also like the solitude of a tap, tap tap, versus that of a screetching saw.
But hey this is woodworking, a ton of people will tell you how to do things and ultimately you will find your own method. If the tablesaw system works for you, go for it.
I have no intention of traveling from birth to the grave in a manicured and well preserved body; but rather I will skid in sideways, totally beat up, completely worn out, utterly exhausted and jump off my tractor and loudly yell, "Wow, this is what it took to feed a nation!"