Thanks for the replies, and a good link to the CAA doc.
I would say that our training tends towards "follow TCAS", and I'm pretty sure that the more we practice flying RAs on our base checks/LPCs, the more we will become conditioned into doing that automatically. Obviously, we also practice the call to ATC of "TCAS climb/descent", but I wonder how often this results in a crossed transmission i.e. the aircraft calling at the same time ATC is trying to give avoiding action instructions. Would it be possible to incorporate a system whereby the transponder automatically indicates to the ATC controller that an RA is in progress, and which aircraft are involved in the TCAS contract? I'm thinking along the lines of a similar display to ident, or maybe a colour change.