There's not really much positive value out of having browsers run TypeScript natively. The main feature is static checking, but static checking doesn't benefit end users. When I go to my bank's website, if their front-end code has a type error, it's not like I can fix it right then and there.
The type system is mostly a developer-time feature, so it makes sense to leave it out of the core runtime environment.
In other words, think of JavaScript/ECMAScript more like the architecture that browsers support. That needs to be slow-moving since it's deployed across billions of devices. TypeScript then just targets that.
Adding TypeScript directly to JavaScript would improve the world to about the same degree that adding C++ features directly to x64 machine code would.