So I did some research to see how much CPUs would seem to affect the benchmark scores assuming same GPUs and RAM.
Since I have a 1070 and 4 year old i5 Haswell, I compared my scores from those I could see here and in reddit with the same GPU and RAM as me.
I'm seeing variations everywhere from 9500 to 15000, which seems like a large range for just a difference in CPU. Generally speaking:
9000ish range - Older AMDs and older i3s.
12000ish range - i5 Haswells, and it seems some older model i7s.
14000-15000 - The i5 to i7 Sandy Bridges and the few Skylakes I could see sit comfortably here.
I haven't seen Kaby's and Ryzens yet.