First, why is it faster? We had Buble back in the day, and deviation from the spec turned out to mean that you were fine for a while until you weren't. Does this project cut corners? It looks like the project is mostly Rust, is the perf improvement simply because of that?
Second, it looks like it has its own parser for Typescript. That scares me. What version of Typescript does it target? How are you testing that it produces the same output as Typescript itself?
One of the biggest benefits to Typescript (in my opinion) is that a single tool verifies the correctness of your code and compiles it (and in all honesty, I've never been wanting when it came to tsc performance). You don't need to worry about your production build output differing from your debug version[0]. I'd be very hesitant to use this in production unless it was running the full suite of tests baked into the TS repo—and passing.
[0] Yes, you probably use a minifier on your production build, but the minifier operates on the ES code that you compile your Typescript down to.