If a fork, its more likely neither gives up and we have multiple chains as a result. Bitcoin's price will suffer and it will probably take years to straighten itself out. ETH is not a good example that people keep using. It was newer, smaller, and less known. The reason for their split was different as well. Apples and oranges.
there's more money on the line and the miners will be more desperate to keep profiting so people will flock to the chain making the most money. of course there'll be holdouts but they'll be left in the dust. maybe that'll be the real bitcoin classic.
even if it's the chain people don't want, they'll follow the profit as long as everyone else is too.