Cannot change pet owner with "Owner" tag

If you summon a pet with the Owner tag it will belong to that owner. Ex:
/summon Minecraft:parrot ~ ~ ~

{Owner:Notch}

.
However, If you try to change the pets owner with the /entitydata command, it does not work. Ex:
/entitydata @e[type=Parrot,r=5]

{Owner:Jeb}

.
The pet will continue to belong to the original player it was summoned with.