Even without the JIT restriction, you wouldn’t be able to beat JSC as it’s one of the fastest runtimes out there, pretty much level with V8.
Static Hermes sounds like a different prospect, though, if it’s able to use TS annotations to compile to mostly-static native code. That could be great for genuinely high-performance TS code. (Although you wouldn’t want to immediately shackle it to React Native...)
From what I've seen Kotlin(and Swift prob also) semantics are fare more AOT-compile friendly so they're probably a fair bit ahead (depending on how much you gimp your JS target to mimic Asm.JS/Wasm but most regular JS developers won't write code that way).
We've seen the opposite for networking related activities especially when there are 100's of requests that can happen on certain screens. We've tried using Hermes but didn't see any differences other than the app bundle increasing in size.