I think the search function might be even more useful.
Regardless, the short answer is "yes, it makes a difference".
That said, it is but one of many variables. You are going to have a lot more differences from cue to cue based on the tip, shaft, weight, and balance. Unfortunately there isn't a right answer here. Everyone has preferences.
I'd say cuemakers lean toward rosewoods, maple, bocote, and purpleheart as preferred forearm wood for play. But there are many great examples like tigerwood (goncalo alves) that, although a favorite of Southwest, you don't see a lot.