Boromir's search for Imladris

[Inziladun]

Originally Posted by Ibrîniðilpathânezel

One has to wonder if the name 'Imladris' was even known to Denethor. He doesn't appear to have any interest in anything that does not directly concern Gondor.

Judging from Boromir's words to the Council of Elrond, Denethor had at least heard of Imladris.

"This only would he say, that Imladris was of old the name among the Elves of a far northern dale, where Elrond the Half-elven dwelt, greatest of lore-masters."

FOTR The Council of Elrond

Though you're right in that Denethor had little use in things unless he perceived their value to Gondor, I think he had some knowledge of the history of Arnor, and the existence of Imladris was certainly an important factor for those in the North-kingdom.