Absolutely, will public mistrust stay around, or is Facebook just the demon of the day to be hated at by the talking heads on tv? From everything I've seen, the greater public won't remember or care a week after the media moves on.
It just might hang around for as long as Trump is president in the US, considering how this started as an offshoot of the ”Russian interference” investigation.
The question is whether that is durable, or just something that hangs around while this is in the headlines with a focus on FB.