Re-uploading the same version would be a bad idea due to there being multiple instances of a supposedly identical distribution (potentially) out in the wild, which is why even for small documentation changes and the like, you are asked to uprev your module. (2.3633 or higher, in your case).
Never release anything (even a one-word documentation patch) without incrementing the number. Even a one-word documentation patch should result in a change in version at the sub-minor level.
In PAUSE, under the Utils menu, I came across a "Recent Version" option which looks like it'll do what I want
Do you mean "Reset Version"? I'm not sure how that would help you.