The first myth addressed by makelovenotporn.com (mentioned in the article) regards "facials".
I wonder how much men's desire to do this comes from watching porn.
Any grecian urns with men "dropping loads"?
Does anybody actually want to do this or have it done to them? There are a lot of weird tropes in porn, but this has to be one of the weirdest wide-spread ones. Really, you might as well just squirt super-glue at somebody.
I've done it a few times, at the request of my girlfriend at the time. I was indifferent to it, personally. She was very much into dom/sub type relationships, so I expect most of the kink for her came from that.
The negative explanation is that it degrades the recipient (i.e. women), adding to the sadist/misogynist aspect of heterosexual intercourse.
The pragmatic explanation is that it provides a visual cue for the viewer (particularly those who are more visually oriented) indicating the climax of the sexual act. If the orgasm were internal, it'd be hard to miss (though there's an entire niche for that, of course). As to why it's the face in particular: it's the easiest way to directly show the recipient's reaction at the same time, especially on low-resolution or small-scale displays (plus on those devices a close-up tends to be easier to recognize).
The psychological explanation has something to do with there being a long-standing trope of portraying cannibalism as the ultimate infatuation (e.g. the communion of the Holy Spirit in Christianity representing "becoming one with Jesus" by consuming his flesh and blood) and ejaculate representing the "essence" of the male orgasm (biologically speaking the entire "point" of sex is to put one person's sperm in the other person's body).
It may seem odd that there are people who are into the ejaculate itself but it's far more straightforward than a lot of other things some people enjoy (including pretty much everything else that can come out of a person's body, apparently non-sexual body parts and things that aren't even related to persons, or even BDSM which is so much about psychology it can get away without any actual intercourse taking place).
I think the majority of men in my demographic like to do it.
And in my experience, about half of the girls are into it, the other half are indifferent.
Seems like it would make a hell of a mess, and it also makes me think of this joke from Good Will Hunting: https://www.youtube.com/watch?v=6il6tocb4ic