No, it is not a goal of the Yggdrasil project to provide anonymity. Direct peers over the Internet will be able to see your IP address and may be able to use this information to determine your location or identity. Multicast-discovered peerings on the same network will typically expose your device MAC address. Other nodes on the network may be able to discern some information about which nodes you are peered with.
Doesn’t seem to be anonymous (emphasis mine)
I hope you aren’t relying on it for anonymity.