[Ibrîniðilpathânezel]

I agree that Tolkien left a rather strong impression that Cirdan was not married. Aside from the aforementioned passages, there is the fact that Tolkien often mentions the children (especially sons) of prominent Elves, even when he never (or only in an obscure reference somewhere in the HoME writings) mentions the names of their wives. No child of Cirdan's is ever mentioned, unless one counts his protective fostering of Ereinion Gil-galad. If Cirdan had had sons, one would think they would have been as brothers to Gil-galad, but nothing of that sort is ever seen.

Still, it's possible that Cirdan had a family, but none of them ever did anything of note and therefore were not mentioned. Somewhere, either in the HoME books or in the letters, I believe Tolkien said that he thought all the sons of Feanor would have been married; I can't recall if he said that their families did not follow them into exile, or if they simply never came up as "players" in the Silmarillion. Celebrimbor appears to have been mentioned because he did things that were noteworthy. The others...? Not a word. So following that pattern, the possibility exists that Cirdan had a wife and descendants, but they were not sufficiently significant to come into the stories.

Nonetheless, I personally feel that in Cirdan, Tolkien was expressing the lot of the classic mythic mariner, for whom the sea is both his calling and his greatest love. The sea is a harsh mistress, and ill tolerates any competition. Moreover, if Cirdan felt himself to be an instrument of some greater destiny, he may have remained deliberately unattached, so that he could fulfill that destiny without risking heartbreak for himself or his loved ones. Just my rambling feelings, here, of course.