Almost all transmission fluid change machines are just adding fluid back into the cooler line at the same rate that the transmission pump is pushing the OLD fluid out.
It is a fluid exchange........a key point here is FLUID ONLY.
No solvent chemicals added, just new transmission fluid.
The terminology "transmission flush" is used a LOT to describe the simple "fluid exchange".
Most quick lubes will do a "fluid exchange".....again, often called "flush" which makes many of us think of some power washer that is pumping fluid out at high pressure......which is NOT the case at all.
There is a machine called out in FORD documentation that pulses HOT transmission fluid (they specify to use ONLY ATF and no chemical cleaners).
This machine is NOT for transmissions, but for power flushing the in-radiator transmission fluid cooler.