Why excluding? It sounds very good. So does the Mesa V-Twin, which is my favourite "preamp"-type pedal into a Twin (but still using the standard guitar output, not the amp-simulator one).
For simple 'non-preamp' overdrive/distortion pedals - Rat, (especially the RAT2), Boss DS-1 (Japanese, they really are different) and DF-2. Marshall Guv'nor and Jackhammer... lots of them really. Yes, you have to be careful with settings, especially on things like the DS-1, the useful range of the tone control is from about 9.33 to 9.47 or something

. It also very definitely helps to turn the bright switch off on the amp, and the treble up vey slightly if necessary (it operates at a slightly lower frequency range).
But no, sorry - I really can't stand the sound of that Suhr, it sounds awful in every demo I've seen. I just don't get what you're hearing - it sounds like all the top-end has been taken away leaving only a very muddy midrange tone. I can see the point in that with something like a Tube Screamer that's best into an overdriven amp (which puts back the top-end) but this is specifically designed to go into a clean amp!
That said I tried a Suhr CAE amp and found exactly the same thing, so I can only assume that it's meant to be like that...
So I'm really hoping Fender *don't* make a pedal that sounds anything like it

.