dnd 3.5e – Long splitting bow, which bonus applies to the opponent brandishing a big bow?

A fighter whose Sunder feat is upgraded and brandishing a Greataxe performs a sunder attack on an opponent brandishing a large bow.

The PHB p113 indicates that a long bow is a projectile weapon and that most projectile weapons require the use of both hands. Then the PHB explains on P314 that a two-handed weapon is "a weapon designed to be used with both hands".

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

In this case, does the defensive player who resists the super-attack benefit from a +4 bonus on his opponent's attack roll?