I think you are unfairly reframing it as some sort of debate. It's like not being totally decided on if you should log into your server over telnet from a coffee shop. Even if you don't see the weakness, attackers do.
In the particular scenario I proposed the only attacker we are trying to protect against is a completely passive attacker than can possibly view our logs from servers along the path to our back end server. Obviously in the world of crypto that is a ridiculously weak adversary, and not one you want to hang your hat on when designing a crypto system. But, it is an adversary that plenty of companies are concerned with.
For example, because sensitive data is not something you can "unsee", it would be ideal if one could ensure that even trusted employees are never witness to the information. For example, I could be a completely trusted employee that sees an accidentally logged credit card. The bell has been rung..there is no going back. In that situation, even though there is no adversary in the malicious stance, it is a problem that can occur and many people would like to solve it.
The opposite is also true: if your SSL setup is compromised (e.g. Leaked private key), client side crypto does nothing to protect you since the attacker can just MITM your crypto code inside the runtime, get data out of the DOM, etc.
There are no cases left where client side crypto provides any additional security. Some future server-browser model might change that, but not anything that exists on the web currently.