I still don't accept that a vow of celibacy is necessarily also a vow of chastity.
It's irrelevant what you accept. The arbiter is Canon Law and in that there is no difference between a promise of celibacy or vow of chastity for those receiving Holy Orders in the Latin Rite.
It's relevant to someone--maybe even someone who engages in politeness. The definitions are hardly beyond discussion, and we can agree to disagree and you can be disagreeable.