Well the GG and flooring would accommodate some damping of the bamboo and subfloor below, assuming you have direct subfloor / GG / Bamboo with no intervening foam underlayment layers. Check that you're not voiding a warranty. This would definitely be the choice for airborne sound isolation.
The carpet and pad would likely offer greater isolation from footfall impact noise, however, so if you treat the theater ceiling properly to contain the noise, I'd choose this to minimize footfall vibration from entering the floor / ceiling assembly.
A compromise might be to have bamboo and an area rug where traffic will be.
The Soundproofing Company