Considering the context: "jacht- en vliegrechten" (hunting and flying rights) I think it is more likely to be flying with birds of prey.
Also, in the 17th century, pigeons would mostly have been kept as a handy food supply, not for "flying" (most present day pigeon clubs practice the 'sport' of pigeon racing). There is of course the use of pigeons to carry messages, but I think you would not need the 'rights' to do so within an estate; is the Heerlijkheid van Kruiningen so large that pigeons would have been used to carry messages?