If it runs TS "the same way" it runs JS then how is that different to what I described? It would be a JS engine that strips the types before execution.
There is a persistent fantastical hope that TS can somehow be a compiled language. It can't, not without breaking compatibility with JS. Until, of course, someone manages to compile JS - but at that point TS would be irrelevant.
I say this as someone who loves TS and wouldn't want to be without it: TS is a fancy linter. JS defines the execution semantics of the language.
This is the only way to execute TypeScript. That's how every tool that "executes" TypeScript works.