I'm emergency med btw. Feel free to share advice/stories/cautionary tales
Ask your current command, not the internet.
🙂
Generally speaking, either is fine - with some caveats. Typically my experience at two different Navy commands was that moonlighting on liberty was OK, provided total hours per week was under 16 and there was an 8 hour rest period prior to any Navy shift. There was WIDE variability in the formal monitoring of ODE and enforcement of the rules.
I've seen people get away with crazy stuff in violation of the rules, and I've heard of people getting absolutely hammered for technical rule violations that weren't even remotely their fault.
There was some subjectivity to whether the "16 h/w" meant hours in the hospital or pager call from home also.
You must be within the command's liberty radius, of course. If air travel is involved, must be on leave, regardless of distance. This is true for anything you do on liberty obviously, but for non-obvious reasons I knew some people who thought that non-ODE rule could be broken if they were doing ODE.
While on leave, knock yourself out and burn that candle hard at both ends - no one cares.
Waivers to the rules can be requested and are sometimes even granted.
Anyway - all of this will be crystal clear when you request and receive permission to engage in ODE at your command. Ask them. You can do it under the radar without telling anyone, and some people do, but (a) medicine is a small world and word WILL get back to the command, and (b) save yourself the trouble and just do the paperwork and get permission.