I am working in a State Plane/NAD83 projection. I am adding a WMTS service that is is WGS 1984 on someone else's set. When the transformation window came up, I chose WGS 1984 to NAS 1983 V. But now I am realizing that I should have said none and let it project on the fly. So I close ArcMap, remove the connection file from the ArcCatalog (C:\Users\lperdue\AppData\Roaming\ESRI\Desktop10.2\ArcCatalog) folder. Then I copy the original connection file back to the clients set. When I add the WMTS service to the mxd again and specify NONE on the transformation, the features are still offset to the north and slightly east. On my set, they lay right when they're supposed to. I tried adding the WMTS service to a different mxd on the client's set and it was still offset. I don't see anything in the Data Frame or Layer properties that indicates which transformation it is using.