> I'd have a hard time believing some niche hedge fund somewhere wouldn't make a killing off this by providing liquidity.
Typically the opportunists here would be stat-arb hedge funds. They bread and butter of their strategy is to isolate the non-explainable ("idiosyncratic") movement in single name stocks, then bet on that factor mean-reverting.
E.g. if Microsoft goes down 0.5%, but the market's up 1%, and the tech stocks are up 1.2%, and various other factors that move Microsoft don't explain it being down. Then they'll bet that the movement is driven by random noise, and buy Microsoft, betting that it will re-converge with where it's expected to be. They'll also use various techniques to isolate whether idiosyncratic movements are likely driven by company specific factors or market noise. Like NLP on a newsfeed to look to see if there are any breaking stories, or tracking recent analyst revisions on the stock.
Suffice to say that stat-arb funds in this day and age are very very good at this. In a liquidity unwind event, the signals stat-arb traders use would absolutely be lighting up. The biggest question would be whether stat-arb funds in aggregate have enough capital to counter the absolutely humongous flows that a potential index fund unwinding would release.
Another complicating wrinkle is that most stat-arb desks are no longer independent hedge funds, but units within larger multi-strategy funds (like Two Sigma or Millennium). There's good and bad. The good is that if there's all of a sudden massive opportunity the multi-strat fund can quickly reallocate more capital to the stat-arb desk.
The bad part is that stat-arb desks may be unwound due to arbitrary contagion in other parts of the market. If the multi-strat fund sees a big loss in another unit, it may pull capital from the stat-arb desk to meet margin calls or redemptions. For example this happened in August 2007 [0]. The subprime mortgage market blew up, then all of a sudden a bunch of esoteric stocks started behaving crazy for the next weeks. And that was largely because multistrat funds were pulling capital to meet margin calls on their mortgage portfolio.
[0] http://web.mit.edu/Alo/www/Papers/august07.pdf