I wouldn't:
Continually get things wet. The planking can start cupping on you. I do TSP and Te-Ka only after all of the stripping has been done.
Overuse or use wire brushes. They tend to gouge. I'll take a 4" putty knife and cut the sides off of it. This will give you a scraper that you can use to scrape the stripper off. Try to scrape with the grain always. That WRC is very very soft.
Sand, If you have to sand do it as a last resort to clean any spots of finish left on.
Don't worry about how much time it's taking you. It's going to take as long as it's going to take.