If you use Discordance on Gauntlet Orb, Blast CD and Orb CD switch, that is why Attack Speed increases Orbs/sec. But then again, Reduced CD does not speed up Orb casting any more, but does speed up Blast.
Boomerangs can be sped up with Reduced CD, but not with Attack Speed. Same for Charge. I'm 100% positive about that, but test it out yourself 55% Reduced CD -> 0.9s CD on Boomerang, compared to 2s without Red. CD.
What furthermore influences the attacks/sec is of course the weapon, Hammers/Gauntlets are slow (1.1 and 1.5 attacks/sec)... So Discordance on a Wand (2.5 attacks/sec) does 66.7% more attacks per second with 50% less damage, disregarding the massive damage advantage Gauntlet has over Wand because of its base damage.
Both Shatter and Aftermath are CD skills, so only Reduced CD should affect spam speed, not Attack Speed Affix.
Edit: The CD animation appears with the use of Discordance on MH special, but Attack Speeds makes the attacks faster and Reduced CD does not, just checked it again .