Pages 15 and 19 of the manual show the older controller works.
No, they refer to the RC-N2, not the N1 that came with your
A2S:
And Page 71 says the RC2 does not support Quick Transfer.
No, it says the DJI RC 2 does not support QT. That is the new RC with the built-in screen.
The RC-N2 does support QT. See "method 2" in the manual, p.71.
However, as I mentioned in a previous post the aircraft can do QT directly with DJI Fly on a tablet or phone... no remote control is necessary.