If you're going to stay w/ A6 for a while, then you're right, learn C-Script first, as it does have a longer history, and because of this, a much less buggy system.
Maybe when you get a good grip on C-Script, you can start learning Lite-C for future reference (when you do get A7). However, C-Script will be around for a while yet, even in the early A7 versions, so you don't have to move straight over to Lite-C when/if you get A7.