I know, I know, it's a simple questions thread. (that's why this is a warning and not an actual infraction) However, you should still at least try to think things through before you ask a question. RAWR is thoroughly tested, so if it's telling you the badge cloak is better than the pvp cloak, sit down and figure out why that might be. What it's telling you is spirit does have some value as a stat, and it's more than the small increase in haste/spellpower that you get from the pvp cloak.
I've recently started using rawr and I am finding some odd results with different combinations. For some reason it tells me that I stand to gain higher dps from using Disguise of the Kumiho over Furious Gladiator's Cloak of Subjugation--this makes no sense to me since the pvp cloak has more spell power and more haste than the valor emblem cloak.
The only weaknesses of the pvp cloak as I see it is a lack of spirit and slightly less int.
Is rawr simply bugged here or is the 37 spirit that important?