I usually try to wash pillows in a front-loader, preferably one with a higher water level. When I've done them in a Wascomat at one of my commercial accounts, I drench them with a warm pre-wash, then advance the cycle to final spin (OPL machine, no coin box) then restart the cycle again with detergent, etc. I have read in a number of vintage washer user's manuals to open a seam of the pillow ticking and pin shut again - one on each end of the pillow - presumably to allow air to escape. Once ticking gets wet, it doesn't allow air to escape very easily which is why I used the spin cycle to force the air out.
I'm going to borrow my sister's video camera and will take some shots of the Nep-TL so everyone can see exactly how it runs. Glenn (dadoes) has the right idea though - discs only run in one direction, opposite of what you might think. All will be clear with video...