EQ can only do so much, not miracles.
If a speaker is all messed up like +/-10dB FR with rough off-axis response, no EQ is going to fix that.
But I think if you are saying "+/- 3dB to 4dB" FR, then perhaps Audyssey can do a great job fixing.
I believe it is best to choose neutral speakers first. Then allow Audyssey to possibly improve on that. I think the less Audyssey has to correct/fix, the better the results.
I know I've used Audyssey DEQ on the B&W 802 Diamond, which is more like +/-3dB, and they sounded pretty great.