Does deadly strike work with whirlwind?

[rcrez]

Whirlwind, is skill that works somewhat differently than other Barbarian skills. First of all, only weapon IAS affects whirlwind speed. Secondly, I noticed that items with a chance to cast on striking never cast when whirlwind is used. So I am wondering if an item that gives deadly strike, such as Highlord's Wrath, work with whirlwind?

Also, along the same lines, how about critical strike and crushing blow?

Joe