Skip the stripper and sand it down by hand instead. You lose that warm color when chemicals eat into the grain, and sanding lets you control the finish better. It takes more time but the results actually look like wood, not plastic.
Come on, hand sanding is a great way to mess up an old table if you don't know exactly what you're doing. You can sand right through the veneer or leave waves in the surface so easy. A good quality stripper now is way gentler than the old stuff, it just lifts the old finish out so you can see the real wood grain. For a detailed piece with carving or corners, chemicals get into places sandpaper never will. Sometimes the fast way is actually the smarter way to go.