The suggested finishes have different moisture vapor transmission rates. Oil and shellac finishes transmit water vapor rapidly, polyurethane is slower, epoxy is very slow. The benchtop will stay flatter as the humidity changes if the top & bottom surfaces have finishes with the same MVT rate.
If you are just refinishing the benchtop with the same finish it had originally, you are probably ok just doing the top. But, if you apply a drastically different finish, it is best to use it top and bottom. This is especially true with epoxy finishes since no older finish chemistry comes close to them for low MVT.
Forest Products Lab did a thorough comparison study of MVT for wood finishes if you feel the need to look into this closer.
If you are just refinishing the benchtop with the same finish it had originally, you are probably ok just doing the top. But, if you apply a drastically different finish, it is best to use it top and bottom. This is especially true with epoxy finishes since no older finish chemistry comes close to them for low MVT.
Forest Products Lab did a thorough comparison study of MVT for wood finishes if you feel the need to look into this closer.