Morgoth's Iron Crown~The One Ring?

[Laitoste]

I'm reading the Silmarillion again, and, after reading this passage about Morgoth's iron crown, started to draw connections with the One Ring:

That crown he never took from his head, though its weight became a deadly weariness

It reminded me of when Frodo was carrying the One Ring and it became very heavy, particularly around/in Mordor. Is this connection completely unfounded? Or can there be actual connections between the One Ring and the Iron Crown with Silmarils?

(I did look this up, but if this has been discussed, I sincerely apologize.)