Now, granted, public funds weren't used for the bailout, in this case it was more the Fed organizing private banks for the bailout. Also, the investors in LTCM still lost a ton of money.
But LTCM is still a great prototypical example of "vacuuming up nickels in front of a steamroller", i.e. these traders can take these positions (LTCM was focused on merger arbitrage IIRC) that seem like a license to print money, except they invariably can lead to some giant risk blowup. And when they fail, they have a knack for taking down the whole financial system with them so the government has to get involved (even if it is just cajoling other bankers in a room) to bail them out.