Theft Online - Reimbursement?

[batang_bitcoin]

You should know the TOS of that website you use so you can already conclude on what's their take when it comes to these kinds of unexpected events in the future. Binance is exceptional because they have refunded all of those lost coins during the hack and they are fully taking responsibility with that case. But mostly, sites won't cover those lost coins on their jurisdiction if something unexpected comes but again it will depend on their decision. They may or they may not.

[badykvik]

When coins are stolen from the web wallet, will the site pay back the victim money?

The case can be in two scenario the first is individual and the second is everyone.
The exchange might not pay the individual and claim to be the users faults due to carelessness but when such happens to everyone the exchange shall accept their faults.
Whether they will pay or not depend largely on their terms and conditions, it is always advisable to check exchange tos when registering and from time to time when they announce update in their tos.

[NeuroticFish]

Insurance for cryptocurrency exchanges is a good idea if this is not already done.

It was discussed before. Insurers need quite a lot of knowledge about blockchain and they may not too eager to learn. Also if the number of insurers is small (and at start it's clearly small) they may ask too big fees.
Crypto volatility is again a problem. If one insures 100M and the cryptos double the value in less than one month then gets hacked, still half of the hot wallet is lost...

At any rate, Binance made the right decision of establishing a fund specifically for emergency situations

Yep, it was the decision that helped them not fall into oblivion.

[dunfida]

When coins are stolen from the web wallet, will the site pay back the victim money?

Never!

Even the owners of the owners or creators of those web-wallets would have the disclaimer anytime that you should set out max security of your wallet.
They arent held liable for any loss of funds because this is mostly an issue with users itself unless if the web-wallet do have that breach or exploit then it would depend if they would
compensate but this thing is nearly impossible to happen.

[shoreno]

When coins are stolen from the web wallet, will the site pay back the victim money?

Never!

Even the owners of the owners or creators of those web-wallets would have the disclaimer anytime that you should set out max security of your wallet.
They arent held liable for any loss of funds because this is mostly an issue with users itself unless if the web-wallet do have that breach or exploit then it would depend if they would
compensate but this thing is nearly impossible to happen.

Ive been using alot of wallets ( both web , app  ) but none of them has a disclaimer or notice about the funds limit but there are some that claims that they will refund the user as long as if their system will have its own problem ( e.g if thier system has been hi hack )  but i think they wont refund you if you have been scammed by someone else since its not their fault but thats your fault  .