With one Pack Inop the remaining Pack provides 'High Flow' with the switch in the AUTO position except when the airplane is on the ground or inflight with flaps extended.
In my company's DDG the final step is notated: "If desired, increased airflow can be obtained when the flaps are extended (take-off and landing) by ...... The final step after this condition line (ie optional) then contains the No-engine bleed take-off with the Right pack OFF if inop, and an adjusted procedure if it is the left pack that is inop for obvious reasons.
ie. In my company a no-engine bleed take-off when dispatching with One pack INOP is at the flight crews discretion if they wish to obtain high flow from the remaining Pack.
Interested to hear from any flight crew who have flown with this MEL if there is any noticeable cabin environment change with one pack operating in normal flow while the flaps are extended.
Cheers,
MHA