It's almost as if... laborers in every field (the proletariat) have to unionize as a class against the ownership class (the bourgeoisie), seize the means of production, and reorganize society to their own benefit because the bourgeoisie surely will not!
but that's communism, which is bad because the Department of Education said so while making us read fiction
I don't think "the means of production" hits the mark. Most of us programmers have the means of production: a 20-year-old laptop with a new battery is sufficient for most serious webdev and appdev work. What we lack is permission to labour. If I do what I think needs to be done, instead of what my employer tells me to do, then I don't get paid by my now-former employer (which is fair), and then I don't eat (less fair) or keep my house (truly baffling). This despite the fact that the work I would choose to do is much more valuable to society at large than most of the work I can get paid for.
I've seen this idea discussed by others, but I don't know any pithy slogans for it. (Unfortunately, it's the ideologies with the catchiest sound-bites which tend to dominate in the "marketplace of ideas".)
Gamedev is different, since even games from 20 years ago (e.g. Half-Life 2) require a higher-spec computer to develop than to target. The games you can make on a 20-year-old potato are limited: for those, I can see how the "means of production" idea might be more applicable.