The name Alexia derived from Alexus which is another feminine form of Alexander, such as Alexandria and Alexandra for example. It means defender and not the inability to read. It's derived from Ancient Greek. It's a beautiful name. I can see why people would think that because of the spelling of Dyslexia but that is not where the name came from. I think it's pretty and has great roots.
Yes, the meaning of the NAME Alexia does not have anything to do with an 'inability to read' but the truth is (like it or not), the word Alexia does mean "a brain disorder involving the loss of inability to read". Look it up.