This isn't quite right: you still keep the benefit that the server in no sense has a copy of your password, and it is publically visible what the program is tha

This isn't quite right: you still keep the benefit that the server in no sense has a copy of your password, and it is publically visible what the program is that implements the client-side authentication. That said, I agree that there are strong benefits to having support for SRP in the browser.