Just as a mental exercise, how about one pass down 3 table saws with an auto-feed attached? One with a dado set to hog out the middle. Next with the blade left tilted at dovetail angle for one side. Last pass use a right-tilt saw for the other side of the dovetail. Custom-ground blades could make a nice clean finished half-dove cut. Daisy-chain the saws in line to run trim continuously through. One person to feed it. One person to catch and stack.
Just my opinion but 3 table saws in line is like 9 feet of table, while 3 cheaper but quality routers could fit easily in an 1&1/2" thick plywood table with laminate,less than half of that space.
Gang saws are a much simpler proposition.
Since stock-feeders are also generally short, you would need one for each saw, because accuracy really would count for attachment to work properly.
Tilting dado blades 14 degrees also cuts a 14 degree angle deeper into the top of the cut, leaving a peak on each side or one in the middle.
Does this work with the attachment system which has yet to be described in any detail?
With either system you'd want to runs reasonably slow, I think one person could feed and catch also.
This is just to see if there is a market for this, if it catches on, then you could justify spending thousands on an industrial set-up?