GoodCloud won’t have access to it, no. The ZT network is a completely separate VPN (forget the big VPN providers’ idea of VPN, a.k.a. that you enable it and bam it appears you’re in a different country, this is literally the core implementation of VPN, meaning you can connect devices that are not on one network, and make it appear as if it was one network).
However with ZeroTier, you can connect directly to your computer instead of going through the cloud, as if you were sitting right next to it.