You can Render as a image series via DAZ - That's perfectly within your rights with or withour a license. Then combine said image series into a animation with whatever software you use. That's perfectly legal and isn't against their EULA. Whether you have the license or not.
However, If you don't have the asset license and you render as a animation directly from DAZ. Then that's a breach of their EULA.
However, If you don't have the asset license and you render as a animation directly from DAZ. Then that's a breach of their EULA.