This one person (or small local team) can then 1) drive the product 2) act as a project manager with a big workforce and 3) stop coding, start reviewing code written by the minions and 4) get them where they need to be on new tech stack etc.
Timezone issues should be minor. Even people in the US should only be in the office 1/3 of the day. You need to rethink your whole management style, prioritization-wise if you run into problems like commonly needing stuff during off peak times. (Or, just hire a rotating shift so you have a 24 hr staff in Asia).