To further clarify using your example:
Example A (haste)
10000 swings in 10 minutes
Example B (no haste)
5000 swings in 10 minutes
You would expect to see the exact same number of procs in example A and B.
Now, if instead you looked at yourself at A) 100 Dex vs. B) 255 Dex, you'd expect to see more procs with more dex, irregardless of whatever weapon or haste effect you have on.
With that said, as has been pointed out the push from more swings due to haste would help you interrupt casters as more swings = more push.
Finally, as a master of clerical PVPin back on live/rallos zek I can tell you that your proc on those sticks (smite) has an additional kick back effect which should also help generate push -- at least assuming it is accurately modeled here on p99! Low level clerical DD's were of great use interrupting other players spells before their channeling skills got high
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-Propo Fol