That shouldn't even be possible unless you're uploading it to one and using its URL as your avatar on the other. In reality, that should work fine but I've never tested it so I suppose it's possible it could react poorly.
Edit:
Your avatar here is set to an uploaded avatar on the VG Resource which no longer exists since you switched it to a URL based avatar over there.
Edit:
Your avatar here is set to an uploaded avatar on the VG Resource which no longer exists since you switched it to a URL based avatar over there.