A FI is entitled to give Instrument instruction on both the PPL and CPL courses without having the "No Applied Instrument" limitation removed from the rating. Remember, this is not a JAA limitation but an outdated UK limitation that wasn't removed due to "software" limitations in 1999. Put simply, you don't need to have completed the IRI course to exercise that privilege. To fly through cloud you do need an IR, an IMC rating or hold a UK professional licence with inclusive privileges.
That's interesting. So would I as a CPL/CRI be legal in doing the same? If I were to fly with a vanilla PPL holder and we did some basic under-the-hood handling work (or flew in IMC enroute) would they be able to log PUT instrument time?