While I, too, wish it built on a statically typed base, Groovy offers amenities such as @CompileStatic that go a long way towards alleviating this.
I personally find Kotlin strikes a wonderful spot with the brevity and expressiveness of Groovy, while managing to be more type-safe than Java (reified generics, null safety in the type system). But there is no denying Groovy's heavy influence on Kotlin, either.
Groovy may not be perfect but I don't think the picture you paint is accurate, either.