Schedule 4 list before the amendment in '94:

 

 

 

 

As you can see all falcons are on the list yet there is no mention of hybrids, officially they did not have to be registered.

Yet these birds were.

This is the link explaining what the family "Falconidae" includes.

http://animaldiversity.ummz.umich.edu/site/accounts/classification/Falconidae.html

It does not include hybrids.