As does the Latin root, I understand. In normal usage in present-day English, however, "celibate" means to be unmarried and refrain from sex. The only ones who use the word depending on its etymology are the gay priests and seminarians and their supporters; they're being disingenuous and they know it is, quite literally, "double-talk."
I don't want to start playing "duelling dictionaries" with you, but the 1913 Webster's Revised Unabridged gives the stricter definition, as does the OED, 2nd ed. (v. 2, p. 1020). In the 60s many dictionaries shifted from setting standards to following "common usage" (for both definitions and pronunciations). I tend to judge a dictionary by whether or not it contains the word "aborticide."