Due IP being PPM based and WP a flat % proc chance, I tested both IP/DP and WP/DP combo's out with the stage 1 daggers on dummies to see if WP would surpass IP on the mainhand seeing we wield a 1.80 speed weapon now instead a 2.60 speed one.
Here are my results. Do note that it's just two small tests with my current gear (386 ilvl), although they both come pretty close to each other.

Just white swings, no yellows or trinkets for 195 white swings.

1+ SnD > 5 Evis > SS rotation, no cds but with trinkets for 3:03 minutes.
As you can see they're pretty close together. I wonder if WP could surpass IP one day on higher gear levels, but unfortunately I'm not very familiar with scaling of said poisons.
I also wonder if it would be worth exchanging a GCD for a Shiv if 5DP Duration <= 3 seconds to guarantee 5DP upkeep (and to maximize MH poison procs), instead of letting a stack of DP fall off and start from scratch, seeing it takes a good amount of time before combat has 5DP stacks up again.