You do not want to finish the bottom or sides, internal or external.
It's not a "work saving" thing, it's a wood expansion thing.
If you'll notice, most drawer bottoms are free floating in a groove; that allows the wood to expand and contract with the heat & humidity. If you glues (or finish with a coating that binds the parts together), when the wood expands and contracts, it either bust the joints or crack the wood.
Solid wood (i.e., not composit, particle board, or plywood) tabletops are never fixed: They attach the tabletop with clips in a groove that allow the table top to swell and contract without damaging the base or top.
The above only applies to solid wood. Composits or plywood do not expand and contract the way a solid piece of wood wil (they do, but it's benign to the construction).
In any case where you have intersecting / perpendicular grain, you do not wat a fixed joint. It'll eventually crack or break the joint.
FWIW
Scott