Everybody is influenced by everything. Well almost. Probably not a stretch to think that there is some influence. What’s a stretch it to take that idea and say it’s a conscious remake. That’s where things get ridiculous.
Take George Harrison and My Sweet Lord and the Chiffons’ He’s So Fine. I doubt George set out to consciously rewrite or steal He’s So Fine. But doubtless he had heard the song and somewhere along the line it stuck in his brain. I think that’s how most of these things work.
Knowing James Cameron’s green streak, this is not a stretch - far from it - it is the heart of the matter.
Every musical/opera Andrew Lloyd-Webber has written steals liberally from Puccini.