I saw this movie recently too! I did wonder if you'd seen it, hahaha

I saw Peter Grimes earlier this year but didn't catch the resonance -- what The Lighthouse most reminded me off was Enys Men, a Cornish horror movie. It's got a similar sense of isolation and timeslippage and edge of the fantastique and a certain haunting quality. Did you see Enys Men? I think you might like it.

Edit: Icon! And also the one-eye callbacks! How did I miss those!