In a 12 v 12 merging fight from LR BVR if the F-14/Phoneixes scored just a 16.7% hit rate not a single Eagle would even be left alive to shoot back by the time the fight closed to AMRAAM range.
Even if outnumbered 2:1 the Toms would still only need to score a 33% hit rate to 'win' the fight 12-0.
While i tend to agree that the Phoenix would not have a "dominant" hit %, i am quite confident it could easily achieve a 16.7% hit rate.
You have to factor in the huge warhead. A Phoenix has a hell of a lot more room for error than an AMRAAM(Phoenix has nearly triple the lethal radius of AMRAAM).