The subtlety at infinity prevents one from removing degree $0,n$ intersections outside the $\mathbb{C}^{n}$ region, so one does not reach an immediate contradiction as in the Thomas-Yau argument. This technical failure is necessary, because the Lawlor necks with fixed asymptotic planes are not unique, but do arise in a 1-parameter family. It is in overcoming this technical problem that holomorphic curves appear in [40].