Why do you believe this, though? Would a BSD/MIT/X11 (even LGPL) license not be more appropriate?
I think the AGPL works very well for applications that employ it. I simply think that perhaps this one shouldn't. Instead of threatening to legally bludgeon non-free versions, it should just work better or have more value than a non-free version.
That's a real sneaky way to describe copyright infringement.
Anything you can do with a piece of AGPL code you can also do with the same piece of MIT code. The opposite is not true.
The reason GPL works so well on Linux is because it doesn't affect licensing of the software that runs on top of Linux or connnects to it. AGPL works around.
The alternative to AGPL software isn't necessarily no software or only non-free software but often code with much simpler licenses.