Booster is designed to land directly on the launch mount, but that won't be attempted until they are confident it won't blow up the whole base.

Starship is designed to land on any flat surface (earth, moon, mars) but again they won't attempt ground landing until they feel confident in the design.

They don't right now, because they are still testing. They can't risk bringing the booster or the ship back over land, because they don't know yet how well and precise they can steer and maneuver them. When they've figured that out, we will see the first landing of a super heavy booster for recovery and that will be pretty spectacular I bet …