I would say that Madame May has a point—that it doesn't specifically refer to the traditional hereditary government of unceded lands—but it does cover every form of government, including self-governing nations and other treaty holders. It also covers the band councils as they currently exist, where they exist, but it doesn't exclude the traditional hereditary government per se.
The reason it's silent is that how the traditional governments are represented is also a discussion that happens among indigenous people themselves. Sometimes they're included in the more formal government form, either through self-government or others, or they are included or consulted by band councils. The intent behind being silent is to leave the full spectrum open to indigenous people to make their choice around that. If we were to be specific, we would probably be interfering in how they are choosing to actually make the place for their hereditary chiefs or form of government. We wanted to be respectful of that by leaving it open to be determined internally by indigenous people themselves.