Huh, in FF console.log(this) outputs the function, but you're right, object properties ARE there.
Shame it only works with one method on the object, limiting its utility a heck of a lot. It's still the biggest problem with event handlers is you can't just send it an object method -- ANY method -- and have "this" work properly. You'd end up having to test "event" to figure out which sub-method to call which is one of the dumbest ways to handle events. (see almost every official "react" example)
And arrow functions dumbass "this is always window" is like the complete opposite direction needed.