I think it's likely that all lower bins are artificial, so e.g. underclocking a 2.4 GHz down to 2.0 is probably exactly the same as if you bought the 2.0. But yeah, it would be worth measuring.
Ah, I see. I wrote underclock. It's really undervolting that gets you the big win thermally. Underclocking should be done just as a means of achieving a greater undervolt. I just have these two things in the same mental bin.