If performance is limiting, the A320/21, A330 and A350 all give pilots the option of either packs off or packs on/APU bleed on (ie APU to Pack) for take-off. Neither the FCOM nor the FCTM express a preference for one over the other.
Similarly, the B744, B748 and B777 manuals all have procedures for Packs Off and APU to Pack take-off, with no preference expressed one way or the other.