Is hashpower additive if multiple rigs mine to 1 wallet on 1 pool?

I’m wondering if you have multiple rigs that are not centralized in one geographic location but mine in the same pool, does the collective hash power become additive since it is mining to a singular wallet (I.e. node)? Logically speaking it seems to get this effect one would have to create a private mining pool (which is currently out of my technical scope) but as a novice I thought about the problem & wanted to get some feedback 🤔?