The dip I'm talking about is the one you see on manufacturer's charts, sometimes followed by a bump. This would typically be measured on-axis on a large baffle in an anechoic chamber.
When I was working with someone who designs and builds his own custom drivers for his company, I referred to it as the dipbump, with our drivers it was around 2Khz and not as severe as in some of the nice Vifa, Peerless, and Audax drivers I'd been looking at.
Having a dip right next to the bump made it less desirable to try to use a notch filter on the bump
I hadn't done much testing to see if the dip is audible, because, it's so hard to eliminate mechanically. When we did finally succeed in getting a flat response (by spending hours attaching bits of sticky tar in various shapes to the cone) it sounded surprisingly bad.
"cone surround dip" eh? I guess accordion cloth surrounds don't have that issue as much? Maybe the double roll rubber surrounds are little better than the single roll ones also? We even tried cutting the edge of the cone in a zig-zag pattern to see if that would help, it didn't
