Because the nature of this whole thing is a cycle. The worst of it is that the consequences echo downwards until they hit social strata that can't handle any loss (because they have little). That's where the social cost really beds in, in the thousands and millions of ruined lives of ordinary people that are the collateral damage each time there's a failed round of the RL Investment Board Game funded by the world's wealthiest 10%.
If a multi-millionaire loses 50% of their net worth, they are still a multi-millionaire. When normal people lose 50% of their net worth, they have real problems.
Not arguing for a bailout, but the "it mainly hurts rich people" argument is pretty weak, and may actually be backward.
Not bailing out absolutely primarily hurts rich people. This is trivial to ascertain from basic principles.
What you're doing is like being scared of flying on commercial airplanes yet being fine with pitbulls and rottweilers. This is normal due to human psychology, but reality says the opposite.