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IMHO Teal/Green needs to be run as a small offense with a heavy defense because it will not beat most auto-block defenses quick enough so you play with defense that can hold out long enough to get out your pre-block Spiritual Warefare, Burning incense, and then Zeal.
Haggai is very nearly a staple in Teal/Green, much moreso than Habbakuk.
In a small teal/green offense I would run Z-Temple priests with Micah Jeremiah Phineas and another prophet maybe habbakuk. You could then run provision recursion and Z-Temple endless rescue. I would also run Scribe on defense to get back Zeal at least once.
With that offense you would take out Hur, Gifts, Pentecost and any other speed cards. If you run a small offense you don't need speed. Your defense should hold out long enough to get out the offense you need and it is wasted card slots.
Wait I'm a little confused. Are you saying that he should leave it out if he has some other sort of speed, and to use it only when it is his sole engine for drawing? That's what I'm inferring from your statement but I'm not quite sure if that's the conclusion you wanted.