No..The imbalance current will create and induce current into the trip coil.. (pic on page 105) yes?
The direction of that induced current will affect the polarity of the induce magnetic field in the windings of the trip coil yes?
Unless you can categorically say that:-
The potential from the positive half and negative half are equal with respect to the fault path to earth
AND
the induced current in the trip coil is alway equal on both halves of the cycle
AND
the magnetic flux is equal in strength to move whatever mechanical bit it moves to trip the RCD
AND
therefore the physical RCD always produces the same characteristic on both halves of the cycle..
and operate in the time frame on both halves of the cycle (which reality says they DONT!)
Then you MUST test both halves to ensure in a worst case the RCD will trip in the desired timeframe.