No, if you apply true oil just follow the directions. The wood will soak up as much oil as needed. I would knock the high shine off with some fine steel wool that has been soaked in acetone. It will look more proper IMO than the high gloss outcome if left alone. Also maybe thin a little of the true oil to use in the checkered areas. If you use it at the regular strength it is hard to keep the checkering from filling in. It will look poor if not cleaned out well leaving crisp looking checkering.