24h time makes way more sense, especially when working with servers late at night. Hate 12 hour time's annoying AM/PM issues, particularly when typing the time into server refreshes or dealing with 11pm - 12pm (am) slip ups.
I wrote that it sounds odd, which it does. I used to work a job that used military time. Almost everyone wore a digital watch but many of the offices had analog clocks. If I was looking at an analog clock I'd say 'quarter to 2" but if I looked at my watch or the screen I'd probably say 1345.