Obviously, flying planes is a valuable skill. But without the enormous support system that the airline itself provides, pilots would have little opportunity to realize that value.
Then you're over-identifying what the value of their labor is. If what they need to do requires the support of others, don't factor the input of others into "the full value of their labor".
I.e. if the total value of the airline is X, and the value the pilots provides is P, and the value that all the other employees provide is N, where N + P = X, then the full value of the pilots labor is still P, not X. So I take it to mean they're wanting to get 100% of P.
It's much more complicated than that. One of the beautiful things about business, or any cooperative effort, is that the sum of the group/company is worth more than the sum of value of individual effort. 2+2=5, if you will.
The problem, when it comes to human nature, is that once the total value is determined (market cap, annual profit, ROI, etc), individuals tend to over-estimate the value of their individual contribution.
It is not just airlines. Uber drivers say they provide the rides, there would be no service without their effort. Uber says nobody was paying you to drive before we launched our platform. Both are correct. Foxconn employees say we're building all these damn iPhones, no other facility or workers can produce at this volume. Apple says if we didn't design and market such a popular product you'd have nothing to build. Again, both are correct. A film director says, look, the movie I made grossed $400 million -- and the studio replies, which you could have never made without the $100 million budget we risked, up front.
I don't mean to be a proponent of that view (at least not in this comment) but that might be where the parent comment is coming from.
In many cooperative enterprises, like the historical Cherokee communal farming set-up, people set aside some of the value of what they produce to (a) cover miscellaneous capital costs and (b) be provide a reserve. The pilots should be producing a little more than they receive; otherwise the airline would collapse the next time a flight got delayed and people had to be put up in a hotel.
Sure, that's why we see so many pilots selling direct to consumers, right?