I really don't like twin names that make each twin one half of a cute name unit. It's for the benefit of adults, not for the people involved.
I grew up with one pair of twins with cute twinny names (think Sarah and Sorcha) and have twin friends also a victim of this (think Harry and Barry) - they argue it might as well have been Tweedledum and Tweedledee, and Harry called himself Henry as soon as he was old enough that people listened to him and not his mum, who thought it was adorable.