Being that Litecoin is more likely to implement experimental features before Bitcoin. As of today 2017-09, has there been discussions or test implementations of making Litecoin anonymous like Monero's Ring Signatures or adopt similar features like Zcash?
Increasing fungibilty is a goal, there have been several proposals of differing seriousness and support. But this is generally seen as a goal for the project.
That being said, BTC/LTC simply cannot ever achieve this goal as throughly as Monero has without a complete redesign, which will not happen.