To be clear, in the case I described, the map service was published with no additional capabilities. "Someone" (app/automated process) was asking for the service as WMS, and it was generating WMS errors. Also "Someone" was asking for the service as WFS, and it was generating WFS errors.
My question was because of the error message:
"Invalid http method. in '"esriCarto.WMSServer"
Given that you've turned on WMS Server, people can ask and should get a response.
If you have followed all the instructions here:
https://enterprise.arcgis.com/en/server/10.9/publish-services/windows/wms-services.htm
Then my next question would be have you assigned a particular version of WMS. If you've chosen to publish version 1.0, and someone has a 1.3.0 client, then they could be asking for things that don't exist and your server can't support. WMS configuration (unlike WFS) is normally pretty simple if you accept all the defaults.
Scott Tansley
https://www.linkedin.com/in/scotttansley/