I'm sure plenty of people would rather live with the small chance of a hacker even wanting to gain access to their account than the very large chance of eventually losing access to the account entirely.
Although they probably wouldn't want to live with all their emails being discarded because gmail becomes so easy to hack and everyone assumes gmail accounts are spammers.
Huge amounts of spam already originate from gmail addresses, so I don't think this is a good example. That's not to say that I think security should be weakened, though - it should not, but for other reasons.