Sleep deprivation destroys your productivity. It's equivalent to being drunk. E.g. "Chronic restriction of sleep periods to 4 h or 6 h per night over 14 consecutive days resulted in significant cumulative, dose-dependent deficits in cognitive performance on all tasks." (https://academic.oup.com/sleep/article/26/2/117/2709164).
The idea that "oh I can just can stay awake longer" might have merit. I doubt it. But the whole premise is flawed, even if it is workable.
The premise is that working longer is better. It's not. Productivity is about achieving your goals with minimal wasted effort. If you're spending your time thinking about "how can I have more hours to work" you're not thinking about the important thing: "what work am I doing that is unnecessary."
You can get order of magnitude reduction in effort by having the right idea, or the right shortcut, or the right set of priorities. Staying awake more might give you 25% more hours at the cost of massive cognitive deficit, and a completely broken set of priorities.
More on productivity and sleep:
- Productivity: https://codewithoutrules.com/2016/08/25/the-01x-programmer/
- Why your startup has you working long hours: https://codewithoutrules.com/2017/06/21/why-company-want-lon...
- References to research on long working hours and sleep deprivation: http://www.igda.org/?page=crunchsixlessons