What annoys peoplle, I suggest, is that modern capitalism is increasingly a one-way bet, with power concentrated in the hands of two few.
The one-way bet is that profits belong to the shareholders, and losses belong to the public. Also, a short-term gain generates a huge bonus, regardless of what it does in the long term. This is at its most obvious in banking, but exists elsewhere too.
As for over-concentration of power, when there were lots of small car companies, if one went bust, tough. The same was true of banks. This is the true 'creative destruction' of capitalism, and why capitalism succeeded.
Now that there are a few giants, they are too big to fail, and there are indeed good arguments for bailouts. First of all, the bailed-out company effectively pays part of the unemployment benefit: it's cheaper to bung millions or even billions at a big employer, who also buys from sub-contractors, than to put eeryone on the dole. Second, as others have pointed out, manufacturing does matter. Let it all go offshore and you are at the mercy of others, to say nothing of the fact that the market for many manufactured goods is volatile, it is a lot less volatile than the demand for certain services such as advertising and 'creative' investment banking.
To pretend that a loan is not a bailout is disingenuous. If I need (say) a $10,000 loan for 6 months to avoid bankruptcy, and I can't get it on commercial terms, a loan made to me just to avod bankruptcy is a bailout.
Cheers,
R.