For both serverconsole.log and DayZServer_x64.ADM I think I would be very beneficial to print the full date on each log line as well as display the milliseconds.
The reason for this is to make the use of a logstack and the writing of automated log processing much easier.

Of course, because it will break compatibility so it would be best provided behind a command line switch.

Example, instead of:

6:44:20 Players: 40 in total

Have an ISO 8601 date and time instead (UTC or local with timezone):

2021-02-01T10:44:20.145Z Players: 40 in total        <== UTC
2021-02-01T06:44:20.145-04:00 Players: 40 in total   <== with timezone

Thank you!