Every cordcutter is a loss for ESPN. This is affecting not only ESPN, but The Walt Disney Company's profits substantially. ESPN makes up ~30% of their gross revenue. They've seen losses most of the last several quarters, in large part due to bad numbers from ESPN.
I'd expect a wave of mergers/consolidations and player/staff contract re-negotiations around that time. For teams, though, TV broadcast rights are just one of many revenue streams. Ticket sales, attire and souvenirs, concessions, various online subscriptions, endorsements, etc. are all refenue generators.
You also have to consider that some owners treat their franchises like fancy sports cars, not businesses, and they are extremely rare cars at that!
While valuation of sports franchises may be only loosely coupled to reason the salary of players is connected to cash flow into the company. That is even more true if the company will have struggle to get more loans (lenders tend also to be more rationale).
A TDG study showed nearly 101 million U.S. households subscribed to television at the industry's peak in 2011, but the number would fall below 95 million in 2017.
For football, the valuations also already take into account that players get about 50% of revenues.