I'll fight you with 1 paw.
Hard to talk EBs without the whole package. I think it comes down to "how much" does it affect the tone, compared with "other factors", such as construction/configuration/pickups/electronics/strings. Some think they can hear a difference, others don't. For reasons stated above (e.g., not all wood is uniform), those that can hear it say you can't do a blind/scientific study (for whatever reason); but because of their experience, their dogma is not to be questioned.
So, each side will fight each other to the death - GO!....
Bill
(Edited to add) Just to be clear, the last line above is sarcasm (a joke), and not meant to instigate an insurrection!...

