My son played a lot of baseball in wood bat leagues and tournaments. He preference was bamboo, any brand. Check one out and see how your son likes it. They seemed to last longer as well.
My son had a Brett Bros bamboo for the cage, and a Bamboobat before that. Both looked, felt and sounded great. (the finish on the Bamboobat is like fine piece of furniture) Both lasted a long time. But I wouldn't recommend either for games. From what I've seen and felt I don't think they have the same pop as good, solid wood bat.
I've never heard of a difference in performance between wood and bamboo. I'll have to check that out for myself. I don't recall my son ever noticing a change in the pop.
I don't have any evidence of it other than my own perception. But it makes sense to me that it should perform differently. A bamboo bat is a laminated wood+glue product, not single piece of wood, so I would expect it to perform somewhat differently, maybe better maybe worse, depending on how it was engineered.
FWIW since they usually carry a BBCOR seal, I guess strictly speaking some organizations don't even regard bamboo bats as wood bats.