Back to the LIDO chart, it is actually correct as well, only we are interpreting it wrong.
From the legends and table part of the LIDO general section, it is clear that the 4000 feet written during the turn is just the way LIDO depicts Initial Approach Altitude, and that is doesn't refer to the D14 IPE.
That the descent can't be initiated until 1/2 deflection, LIDO assumes that we as pilots would know. For the racetrack, there is a note in legends and tables that refers to rules and regulation, with the same text Stone_cold quoted.
So both charts are correct.