Hello NotaLOT,
Be careful, your remark it all depends on whether TOW is currently ASDA limited had me a bit worried.
ASDA is a purely physical dimension of the Runway characteristics. It is not related to aircraft performance.
ASDR (Accelerate-Stop Distance REQUIRED) is an aircraft performance limitation and "fits" your worrying statement. If ASDR=ASDA, then the aircraft is performance limited.
By the way, I fly over your part of the world quite often, which airport are you talking about where ASDA>TODA?
Regards,
Old Smokey