I use my Linux system without sudo, it does break some (badly written) scripts. You can fix it by either creating a symlink in your path or replacing sudo to doas on those scripts.
But I rarely encounter these issues. Usually system applications won't be affecting by a missing sudo binary, as their privileges are typically managed by polkit or similar.
It is a much simpler program than sudo. A simpler and less complicated implementation means less vulnerabilities.
sudo had some serious vulnerabilities in the past: https://www.helpnetsecurity.com/2021/01/27/cve-2021-3156/
Sacrificing sleep time will affect your cognitive performance and increase risk for a lot of diseases. "There simply isn't time" is usually an excuse used when you have poor time management skills, you can try an exercise of writing down what activity you have done each hour segment. This will allow you to be mindful on which activities are wasting your time.
Polyphasic sleep schedules are also not recommended, Huberman has a good episode on sleep w/ Matthew Walker: https://youtu.be/gbQFSMayJxk