Not really in a quota litis system. US attorneys only get paid a percentage of what their clients get, so if there's no payout they should not get paid. Drawback is that the defendant has to pay for his own attorney (while in other countries the losing party pays for both attorneys), so there's always an incentive for the defendant to settle rather than draw things out in court and incur higher fees.
Plus with a jury of laypersons adjudicating you may not expect the "air travel is inherently dangerous, so don't sue us for being scared" logic to prevail.