dnd 3.5e – Sundering longbow, what bonus applies to the opponent with long bow?

A wrestler with an improved bachelor feat and wielding a Greataxe is performing a sunder attack on an opponent with a long bow.

The PHB p113 indicates that a long arc is a projectile weapon and that most projectile weapons require two hands. Then, the future PHB explains in P314 that a two-handed weapon is "a weapon designed to be used in two hands".

Sunder's description indicates that the holder of a two-handed weapon has a bonus of +4 in the attempt to sund.

In that case, would the defending player resisting the fall of the greataxe benefit from a +4 bonus on his opposing attack roll?