Big Al,
I don't know who is telling that a tranny flush is stressfull to the transmission, but my guess it's a shop or garage that doesn't have the flush machine.
As previously stated, there is not stress on the transmission because there is nothing different except that the transmission pump is pumping out old fluid while it's being replaced by fresh fluid. There are some flush machines that use additional pumps to move the fluid faster, so don't use them. Only use the flush machines that only exchange fluid using the transmissions internal pump. It will take about 15-20 minutes to pump 14 quarts of fluid in and out of your transmission, but that's not too long.
The advantages to the flush are that it replaces about 98% of the old fluid with new fluid while a conventional drop-the-pan only changes about 50%-55%. The remaining fluid is trapped in the transmission and torque converter.
Another advantage of the flush is that you will not induce an transmission pan leak because someone used the wrong gasket or sealant, or did not get all the old gasket off, or overtightened the pan bolts, etc
Disadvantanges are that you don't change the transmission filter, but that is more of a myth than reallity. The transmission filter does not work like an engine oil filter that needs to remove combustion byproducts that are corrosive. The tranny filter is really nothing more than a screen to prevent large chunks of debris from getting recycled though the transmission in the fluid. It is primarly a surface filter and particles that it stops at the surface will fall back into the pan when the engine is shut off. Anything that gets by the filter/screen is too small to cause any harm to the transmission.
If you flush you fluid regularly every 25K-30K miles, you tranmission filter will easily last 100K miles or more. Then you can have the pan droped and the filter changed.
Heck, even GM has been making transmission that are sealed and do not need any service or filter changes for 100K miles. The only difference is they use Synthetic fluids.
I have had transmission flushed done on both of my Sport Trac's and never had any transmission problems. In fact the flush on my 2001 made it feel like it got a tune up. I got noticable better accelleration and firm quick shifts as soon as I drove it home from the shop after the tranny flush.
...Rich