I can see why they might want to rebrand, given that (a) the word "app" has taken on a specific meaning in the mobile space and (b) Google as a whole is now branded with a stylised "G".

EDIT: It's hard for this product to have its own stable brand identity. All it does is add a feature to the existing Google products: the ability to use a custom domain, with some useful tools to manage that namespace.

Maybe the word Domain should be emphasised: "G Domain Suite" (or Domain Pack/Extensions/Link). Sounds better than just G Suite anyway.