Just me, but I find all-nighters suck.
Back in high school, I semi-regularly had to stay up all night to do whatever research project or studying or essay. It even became a running gag with some of my teachers, because I'd be emailing them my work at 5 or 6AM, and they knew I wasn't getting up early. (Regularly late for school, because I chose a bus route that by default would give me a 50% chance of being late.)
When I stayed up without any sleep, by around midday I would start to crash, my body gets weak, heart starts beating like hell. If I got so much as half an hour of "sleep", I would be able to push through the day, while maybe eating a little more and feeling tired.
I know everyone is different, and maybe you'll be fine. But in my personal experience, even minimal sleep is better than no sleep at all.