Isn't it the owners who are locked into payments on arenas, etc? It's not like if there are no games to play, the arena becomes free. If you assume the owners have investments in other assets such as stocks, bonds, etc, and the markets plummet, it seems to me it's going to be harder for them to cover those fixed costs.
Also, it's not merely a game of "who gets hit the worst will flinch."
If I pay you one dollar to whack me in the head with a baseball bat, and you require me to pay two dollars to whack you in the head with a baseball bat, is anybody really winning this game? We're both getting whacked in the head with bats.
Similarly, with every day of the lockout the owner's franchise becomes a little less valuable. The last lockout caused a major hit to popularity of the NBA, which in turn devalued somewhat the franchises. They didn't suffer forever, but if you are an owner wanting to sell in the next few years, it's got to make you think.
Obviously, there are a lot of reasons why owners hate lockouts. Otherwise, they'd never sign a CBA, never recognize a union, and just close down the league every year or two and drive player salaries down to minimum wage.