Any reason while this trailer light converter will work for a LC but not a LX?

[hidesertwheelin]

I'm looking a new trailer wire converter that is in stock, and autozone say's the below one will fit a Landcruiser, but not a LX470? I should be fine correct?

http://www.autozone.com/trailer-wir...ight-converter/290623_252831_0/?checkfit=true