Do you include references in your CV?
In my opinion references are transient. I would expect anybody asking for my reference to do so for each time the reference is requested. the reason is that I would want to know for what I am providing reference and also because I am keen to make the decision to be a reference under my own control.

Hence, i see no reason to provide references in a CV in some permanent way. For each occassion the CV will be used it will of course be possible to add names to the CV but then only for one-time use. It is after all not complicated to edit the CV.

To add a line "references are available on request" would be a big no-no for me (this applies to all aspects of, for example, an application, not just the CV). If you have an application, it should be complete and provide all material and information you want in support unless the application makes it clear some information should be added upon request.