Props to him in that last image, for despite the cringe, he left an important afterword.

I don't know.  There are these people on social media who play these games and decide to write about how there are socio-political allegories about those games, and it seems to be something that happens when they are in their late-teens.  There's something vaguely familiar about it, but I never had social media when I was their age, so I never got to write up theses about, say, Metal Gear Solid.  Though, lest I get off-track, I'll say that Metal Gear is kind of a whole different issue.

Anyway, the backstory in DOOM, concerning the UAC, isn't a socio-political allegory; it's not like the DOOM games are political propaganda.  The whole thing with the UAC is a trope.  It takes inspiration from the Alien series' Weyland-Yutani corporation causing troubles, but it's a trope.  Tropes aren't political.  Tropes serve as backdrop (or something) in a story.

The only thing I can say about all this is that "a good story is one that makes you think".  However, to say that these games are political messages is just silly.  The only way to ascertain & confirm this would be if the story's creator says it outright.
Besides, DOOM, as a game, has never really been about the story....granted, DOOM 2016 and DOOM Eternal, helped solidify some discrepancies, and even confirmed some fans' speculations.  But, DOOM has always been about killing demons.  As such, you'd think DOOM is a Christian game, but I think it's more like an homage to heavy-metal music....but, I don't know.

Overall, politics spoil everything.  Maybe a lot of people who play DOOM games lean right, but I don't think that's too relevant.  DOOM is a game.  Games are meant to be enjoyed.  Everybody is welcome to play games.  Just let people enjoy games and not badger them about fuckin' politics.