Will it? Think about the recent Toyota brake pedals that didn't work or the GM faulty ignitions. Both of these caused a number of deaths, and the Toyota one was especially scary because it didn't even need accident-like events to cause a problem, your brakes would just stop working.
It'll hit the news (like Tesla battery fires vastly disproportionately reported on over other, much more common auto fires), but it's not clear at all that it will cause some massive panic or backlash.