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It seems to me genealogy is important amongst all the free peoples of Middle Earth, Elves included. Ibrin has already noted how much lineage seem to matter for the ex-Numenorians, with the dogmatic principles regarding the succession to the throne as the obvious example. When Eärnur was lost and Mardil took over the governance, his Stewardship became inheritable, but despite the passing of more than a thousand years they never ascended the throne, which is remarkable and I would be surprised if a real-life parallel to this could be found.

As for the Elves, I suppose the formal study of genealogy is less needed, as has been noted, since they are immortal within the limitations of Arda, and since most of their ancestors still exist, in Middle Earth or in the West. Their memory is also near flawless, and as the mind of most Elves seem to linger in the past, their family history would be lucid without the need for any formal, academic study. Lineage and Kinship seem to matter as much to them as it does to the Numenorians though. Once again, the obvious example is the succession order. One would think Elrond should be entitled to the High Kingship of Noldor (something more than just a formal title, I'd say) being a direct descendant of Finwe, but I suppose he isn't considered because he isn't a descendant father to father (His grandmother Idril, daughter of Turgon, once High King, being the missing link).

Note also that Gildor introduces himself to the Hobbits as "Gildor Inglorin of the house of Finrod", indicating that kinship is a big deal also to Elves. When Elrond speaks of Frodo, he is also "Frodo, son of Drogo". If lineage mattered little to Elves, he would not name him like this, I believe. There are other examples I can think of but I will leave it as this for the moment.