Hmm, I can't quite see what kind of thing browsers could catch that typescript itself couldn't, since the whole point of types is to be useful at compile-time.
That said I could see some type introspection being useful in the devtools. This is probably already feasible though, as devtools are sourcemap aware. And typescript is written in typescript after all, so it couldn't be that hard to pull in support for it in the devtools, could it? :)
Cool idea!