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No. They count as either destruction or restoration, depending on what type they are.
"He who fights with monsters should look to it that he himself does not become a monster...when you gaze long into the abyss the abyss also gazes into you..."
They do count as a two handed weapon, however they will not give you access to the two handed melee skill line, only the two handed ranged magical skill lines, which are destruction/restoration.
It takes an entirely different skill set to point a stick at someone than it does to chop them in half with a really big axe.
"He who fights with monsters should look to it that he himself does not become a monster...when you gaze long into the abyss the abyss also gazes into you..."
Weapon passives only ever work if you have that weapon active (having it on your weapon swap doesn't count). So passives from the Two-Handed skill line state they only work when you are using a two-handed melee weapon.