This was an interesting discussion, despite the trolling, and I enjoyed reading it.
While single professors do indeed have more time that isn't taken up by responsibilities to other people, in most respects their lives are filled with greater challenges than are married/attached professors. The vast majority of single people do not want to be celibate, and a substantial majority (of a certain age) do not want to be single. So, when a single faculty member invests time in social activities in order to find a mate (casual or serious), they are in fact doing what almost everyone else would do in the same circumstances, and so are not really making a choice that they could forego. Sure, if you're happy not having sex or not finding a mate, you can devote all your time to work. But very few people are happy with that. Finding partners takes a lot of time and an even greater amount of emotional energy, and it gets a lot more difficult as you move into your 30s.
So, most single professors will be struggling with loneliness, and a substantial proportion with depression. (Of course these things can be problems for married professors too).
Given that, it doesn't seem clear to me that a single professor with the same productivity as a married one necessarily has a worse trajectory. The single professor might find a partner, and that might make them happier in their life and thus more productive in future.