No, he owns two, not five.
he flies as little as possible, is insistent that he makes it 'home' by six pm every evening from filming, to be with his family, and when he DOES fly domestically, (with the smaller jet) he often advertises this in airports, in order to give firstcomers free flights to that USA destination. His large jet is kitted out like a home, and accommodates his family and necessary entourage in order to not have to take over whole suites in hotels.
JT may be many things, but he isn't a liar. In fact, compared to an awful lot of Hollywood actors, really, looking at the broad scheme of things, he is one of the most decent, honest and kind ones around.
In my opinion.