Not quite, local means, any game that is shown on your local network will Not be on the Sunday Ticket.
So, you check your paper a see what the local games are for the day and watch the rest on the Ticket.
Some of us get stuck with lousy teams on the local market every week so we have to rely on the Ticket . (Browns and Lions).
In my case the Sunday Ticket has been the only way I see real NFL games outside of the Patriots that seem to be on Nationally often.
So almost the entire country is local to Denver and Pittsburgh, noted in red? It just doesn't make sense to deny everyone in red streaming and then claim that Sunday Ticket Max will let you stream on any devices.