>My understanding of Mike´s sentences per se is: 
>The schedules did not run untill 02:41.
>The schedules may have run later, 
>but Mike is either not sure about or not exact at this point.
>
>Your understanding is: the schedules did run at 02:41.
>Is this fully clear from Mike´s sentences?

Normally, if one says that something did not happen
UNTIL 02:41, that means that it happened at 02:41.

If something did not happen at 02:41, then one might say that it had
not happened BY 02:41.  (But then where would the idea of the 02:41 time
have come from?)

If you didn't know if the scheduled backup (not the schedules themselves)
had run, you would probably say that at 02:41 it still had not run,
or it had not run by the 02:41 deadline (assuming that time was
known to be some sort of deadline).

Or one could say that it did not happen until 02:41 or later.

Saying "until" (without additional qualification) would imply, to the
normal reader, that it actually did happen at that time.

 - seb