I think monero will recover if they find a solution on this issue.
On the other hand monero is really good at privacy and i really love to use monero on special things.
LOL, why would you lose faith in Monero if people wanted to exploit other people?
One of the Monero focuses is to have as much small miners as possible because this contributes to decentralization, so this web mining is welcome. Of course people should be aware of it... I would prefer to give some hashrate to a site instead of looking at annoying ads.
botnets and exploits are great but who gets the profits? :\ i want hookers and blow like XMR devs have!