Button's disabled modifier bind to a state is not working in .alert modifier

If I simply have a Button where I have a state variable bind to its .disabled modifier, then it works nice, as expected:

struct TestView: View {
    @State private var saveEnabled: Bool = true

    var body: some View {
        Text("Tap me!")
            .onTapGesture {
                saveEnabled = !saveEnabled
            }
        Button("Save") {}
            .disabled(!saveEnabled)
    }
}

With this code snippet, when the user taps the text, the button is either enabled with blue tint or disabled with greyed out tint.

But when I try to do the same within a presented alert, it does not work. My use case is that I present a text field which is prepopulated with a non empty string and then I let the user to change that, but if that's empty, I don't want to let the user to save it, so I want to disable the Button. This concept works fine in UIKit with UIAlertController and UITextField - here I'm not sure why doesn't it work.

Code snippet:

struct TestView: View {
    @State private var saveEnabled: Bool = true

    var body: some View {
        Text("Tap me!")
            .onTapGesture {
                presentAlert = true
            }
        .alert("Change name", isPresented: $presentAlert, actions: {
            TextField("", text: $name)
                .onChange(of: name) { newValue in
                    saveEnabled = !newValue.trimmingCharacters(in: .whitespacesAndNewlines).isEmpty
                }
            Button("Save") {}
                .disabled(!saveEnabled)
            }
        )
    }
}

Should I file a ticket in Feedback Assistant or is there something I'm overlooking? Thanks.