Respectfully, oven cleaner on wood tends to damage the natural 'glue' that holds the wood together. I would not recommend that method although many people swear by it. It's what I'd call a 'harsh' cleaning process. I also hate to be negative on steel wool, but it tends to leave little bits of steel wool in the wood. On walnut, I've sanded with 100 grit, which is approximately the finish that would have been on a US military stock when it was new in the '40s. Personally I didn't like it and I didn't want to wait until handling smoothed the wood. I went up to 600 grit, and then I used very fine scotchbrite. I'm sure there's a dozen ways to get the finish desired. I used many many coats of boiled linseed oil and many many sessions of vigorous hand rubbing with a soft cloth. I'm always surprised that in threads like this, people don't show the results of what their refinishing came out like; the photos might be helpful. This is my M1 rifle stock, just an oil finish, and it's dry in the photo.
