No. Some of the owners have venues. The NHL has the team names and the TV contracts, not the owners' new league.
Do you think TSN or CBC is going to pay the same for some new unestablished league as it would for a league with decades of history and with another unestablished league offering a similiar product? The owners wouldn't get nearly as much from its contracts.
But the owners are starting a new league to try and prevent the players from getting the money.
There are plenty of arenas around North America that are NHL calibre and aren't owned by an NHL owner. Saddledome, Rexall Centre, Rose Garden, Houston's new arena, and Arrowhead Pond to name some of them. They could also go into arenas are that are almost NHL calibre like the new Winnipeg arena, Copps Coliseum, Ottawa Civic Centre, Toronto's AHL arena, etc.
The fans would rather watch the best players in the less desireable buildings then the less desireable players in the best buildings.
The players also know if they stick together they can beat the owners' new league and get their buildings from them for a song.