Two-way pump motor

You're absolutely right, but it all comes down to the project requirements and both are valid methods.
Can more than one pump be used?
Does it have to be a reversible pump?

These are question OP can help us understand.

Edit: The valve setup can also use a couple y-connectors to reduce the connection to a single tube to each bowl and if that tube is at the bottom of the bowl then it can have a very impressive filling and draining effect while completely hiding the tubes.