I detailed for dealerships for 6 years. I've never seen anything so amateur in my life. That is no way to use a rotary buffer. Wash mitt on the dash??? Carpet extractors are great, but they are used on carpets....foam is used on seats, not a gallon of water.
I don't even know if that was an "extractor", they can be in the neighborhood of $2000 for a good one, that may just be a wet vac. A good extractor heats the water.