Bitcoin Core developers want to implement the Lightning network and keep the block size small so as to let as many people as possible to run full nodes. They completely oppose a 2MB increase not only because of centralization fears, but also because it's too rushed.
From what I've seen, SegWit2X developers also have no plans to support the Lightning Network, but it's 100% certain that we'll be getting it on Bitcoin core now that SegWit is due for actiation.
If you'd like to read more about this, check out this post I've made on what's next for Bitcoin.
Thanks for the link, will check out your post!
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Awesome comment, thanks for that!
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