Maybe because 12:00 being consistent with 12:01 was more important than it being consistent with 11?
I personally enjoy using 24-hour clocks on all devices I can.
Speaking of 24 hour clocks: my oven clock shows midnight as 24:00, and then changes to 00:01 at 1 minute past midnight. I've never seen any other clock show that; very strange.
I thought that was normal at least when writing or saying things.
Use of either mechanical displays or on computers time selecter widgets does mean that 24 is not shown anywhere,
Because that's how the numbers are arranged on the clock face/sun dial