The definition of a "no show" is a bit vague there... ("...failure to show up on the first day of his/her reservation...")
Is that the calendar day? The "stay" day (check-in to check-out)?

Based on a bad experience in the past (not at Accor), I now warn hotels if I plan on arriving after midnight.
It used to count on a room (especially a pre-paid one) being available until check-out time, but I have learned the hard way that hotels do not respect that.