From the linked document:
For the MINI Cooper:
Camshaft adjustment – Hydraulically, infinitely variable phase adjustment of intake and outlet camshafts.
Engine management/fuel supply/ignition – Digital Motor Electronics with integrated management of valve drive/sequential multi-point intake manifold injection/individual coils, knock control.
For the MINI Cooper S:
Engine managment/fuel supply/ignition – Digital Motor Electronics/sequential high-pressure direct fuel injection/individual coils, knock control.
The heads seem to be made at different plants and to different specifications. I am still confused.
I got confused when the maintenance manual (TIS) showed a picture of the Cooper engine when explaining repairs on the Cooper S. The picture showed the 2 camshafts and eccentric shaft of the Cooper.
Here is how it stands:
The Cooper S has variable valve timing (phase control) on the intake valves only.
The Cooper S has a conventional throttle and does not have variable lift control on the intake valves.
The Cooper S has conventional (fixed) timing on the exhaust valves.