Although I don't really use the word 'cog,' you are being uncharitable here; the word isn't completely meaningless and using it isn't "screeching".
The poster seemed to be distinguishing not on the basis of interdependence but on the basis of who has control over your life and the context of your work, and where the resulting profit would go. (This is, of course, my reading).
One part is your freedom. If you want to take a trip for a couple weeks once a year, or change your hairstyle or get a tattoo, and this is impossible because of company regulations unrelated to workload, this is coggy. Of course, everyone acknowledges that you have to work a certain amount of time and that if you are facing employees it helps not to have a swastika tattoo on your forehead, etc.
Another part is the alignment of what you are doing with your interests. If you are putting in 60 hours to pay the bills and learn a lot about SOAP on the way, that's coggy; it is not the same as choosing work that involves SOAP because it gives you a hard-on, which is less coggy.
Another part is what determines the broader role your work plays. Yes, everyone is doing work which fits into other people's wants (even the arctic explorer is playing to an audience somehow). But if you work for 8 months on something and it fails because customers hate it, you were still the one who chose that context - less coggy. It was trying an idea. If you work for 8 months and then it is permanently scrapped because the company came to a deal with Microsoft and your project was just a bargaining chip, that's coggy.
For the same reason, profits - if you are working in Hollywood and get paid an incredibly tiny amount for a hit movie because they got you with Hollywood accounting, that is coggy; it's less coggy if your profit is tied
Of course, this also means it's less coggy if you are taking on greater risk (financial, reputational, whatever). If you are very risk averse then you may prefer a coggier position. If you are very focused on one specialized skill, a less coggy position might force you to pick up other ones, so again certain kinds of people will rationally prefer coggier positions.
If the norm is for employees to be hired at low rates, dominated in every way possible, artificially hampered from building useful things, and fired on a dime, that is pretty coggy. If you are happily choosing your own jobs, leaving when you want, dictating terms, that isn't very coggy. Which is why you used it as your example.