Hi Roger,
I have no problem with a CTR supplying an ATIS, as long as it is done through ATIS maker and not through their controller info. This way it is identifiable with an airport and no confusion can happen.
I agree with you that controllers placing ATIS info with no airport identifier in their controller info is confusing and with the availability of specific ATIS frequencies, it is the wrong method in creating an ATIS (VRC users).
There's always the chance that we have guys using ASRC. In that case, it should be made clear what airport the ATIS info is for.
Cheers!