No, definitely not only in that sense. GC is a boon to productivity no matter how you slice it, for projects of all sizes.
I think the idea that this is not the case, perhaps stems from the fact that Rust specifically has a better type system than Java specifically, so that becomes the default comparison. But not every GC language is Java. They don't all have lax type systems where you have to tiptoe around nulls. Many are quite strict and are definitely not "move fast and break things" type if languages.
A Lua interpreter written in Rust+GC makes a lot of sense.
A simplified Rust-like language written in, and compiling to, Rust+GC makes a lot of sense too.
A simplified language written in Rust and compiling to Go is a no-go.
Not saying those are the only two GC languages, just circling back to the post spawning these comments.