Wild Power does make your dots crit as it is particularly stated in the Info of the RA. However you may want to understand how this works. Basically it is not a crit of the dot, it is more the crit of the spell. Not every tick has the chance to crit but the casted spell instead. If, for instance, you are AOE DoT'ing, you can see two different things: 1. the spell hit normally, the dots tick normally 2. the spell hit critically, the dots tick critically.
the drawback is that you override an already critically ticking dot with a regular once since you apply the very same dot to the target again and thus 'resetting' the previous one.