[1]: https://en.wikipedia.org/wiki/Mitchell_Baker#cite_note-14
[1]: https://en.wikipedia.org/wiki/Mitchell_Baker#cite_note-14
Yes. Mozilla Corporation, The wholly owned subsidiary of Non-profit Mozilla Foundation, is a for-profit organization and taxable entity. [1]
For any for-profit organization, increasing profit is one of the major responsibility of the CEO.
And the worse your company is doing, the more important it is to find a good CEO and the harder it will be for you to attract a good one. So you can even make an argument for why CEOs that joined companies that are doing badly might be getting paid more on average.
Of course startups CEO will have different goals - company at different stages of their growth will have very different goals and tangentially they need different CEOs with different skill sets to achieve those different goals.