It's a one-owner name, like Luna or Gandalf. Plus, it sounds like lay+er, and while a layer cake is pleasant to contemplate, other meanings of 'lay' should perhaps be avoided.
Leia doesn't really sound like Layer unless you have a vernacular that pronounces 'r' like 'a.' To me, Layla is far more evocative of associations with 'lay,' yet it remains in use.