whats the lotr theme?

I’m referencing Andúril, Aragorn’s magical sword, which was reforged from the broken sword Narsil. In the poem “All That Is Gold Does Not Glitter”, the sword and its master’s fate is referenced with the lines “Renewed shall be blade that was broken / The crownless again shall be king”. So when I say that wanting Ice to be reforged follows a LoTR theme, I mean it follows a best case scenario that I think is too Classic Fantasy ™ for ASOIAF.