Gatekeeping is relevant only when there is scarcity. If there is a pair of people (A, B) where A's desire for sex is three times bigger than B's, then although both A and B have full bodily autonomy (that nobody disputes), in practice only B would be a gatekeeper, as sex for A is scarce, while sex for B is plentiful (relative to their desires).

The same argument could be generalized to society. If one gender has on average much higher desire for sex, then the second gender would be considered gatekeepers in practice, as for members of the first the gate is much more selective that for the members of the second gender (due to scarcity difference). That is completely unrelated to equality or bodily autonomy, which is granted to both.