You will likely need some stiff bristled brushes to "dig" the old finish out of the pores of the veneer. The stripper will soften the old finish, but you may still have to get it out of the pores. I keep the free tooth brushes our dentist hands out at the 6 month exams for use in the shop since we use an electric unit. Be very judicious with any further sanding as you don't know how thick the veneer is now, especially since you already sanded it once.
I've gone out to find myself. If I return before I get back, have me wait for me.
"Sawdust is Man Glitter"