The time stamp one the history indeed shows that you are right. (Note: not the order list, which shows 23h)
Players appears to be booted after 23 h and 59 min. (Through before 24 h has passed, but way after 23h, it seems odd)
Is there a minimum boot time of 24 hours, which overrules the settings?
No, minimum boot time for Multiday is 4 Hours .
Edited 6/11/2014 22:27:50