Slightly OT: it may sound like a good idea to increment browser history with every parameter change, but in fact it's not, as after a few simulations/tests one needs to hit the return button many times to go back to where they were.
That will still change the address in the location bar without filling up the history so it takes many back button clicks to leave.
That said, one of our folks suggested same so I think from a UX perspective, we could go either way. It doesn’t _feel_ like a form submission, one could argue.