I've practiced tracking an VOR radial in VFR conditions with a CFI. We tuned and identified the VOR, muted the Morse code, set the OBS, and then followed the CDI needle indications. I have not used a VOR that had HIWAS or flight service. For me, there is some confusion on my part of if the Morse code identification and audio are separate encoded channels in the VOR signal that the radio lets you select between, or if the "PULL IDENT"* button on the radio is unmuting all audio.
My understanding is that ILS approaches (laterally/horizontally) are like a VOR, but with a much narrower width of coverage (and much greater angular sensitivity) than a VOR.
Working from that, I assume that when you use an ILS, you tune it, make sure your audio panel is configured to let you hear audio from the Nav radio you are using, and then you pull the "PULL IDENT" knob, turn it up if needed, and listen for the Morse code. Assuming that you get the correct code, would you then push the "PULL IDENT" knob to silence the Morse code? Or continue to listen to it for the whole approach? If you do mute the identification audio, are you then also muting the marker beacon audio? Or is that a different system entirely? Do pilots listen for marker beacon Morse code and pick that out from the identification Morse code, while hand flying an ILS approach?
*See the diagram on https://www.hodgeflightservices.com/wp-content/uploads/2017/11/Bendix-King-KX-155A-NAV-COM-Radio-Manual.pdf page 3 ("S1-5" on the PDF half pages), knob I'm talking about is labeled as number 8.