I ALWAYS have a "cue" column on my run sheet, even if everyone on the crew has a headset. It says what Maribeth & Matthew said in the above comments, but for every. single. thing. on the run sheet.
The SM does not and can not cue every single thing that happens backstage- that's part of being a good ASM. Sometimes the SM is cuing things but can't say "Sound, Lights, Projections, Rail, and Actors GO" fast enough, so even though you have a headset you might take a cue off a cue light. And because of that, if you get hit by a bus, whoever takes your place needs to know when everything happens, including the things that the audience never sees.
If you can only cross from SR to SL when the rear projectors aren't on, you have to specify that in your run sheet.
If you need to track a prop to it's next entrance, but can't strike it from the stage because of sight lines and have to wait until a character closes the door halfway through the scene, you need to note that on your run sheet.
If you need to preset a piece of furniture onto a wagon for it to come out in the next scene change, but the scene onstage is really quiet and you need to wait until the overture starts to cover the sound, you need to note that on your run sheet.
How I would phrase my made-up run sheet based on the examples above:
TASK CUE
Cue JOHN NT @ SR door (verbal "GO") SM "GO"
Cross over to SL Sarah "I love you"
Page SL curtain for SARAH XT DS cue light
Reset CHAIR to blue spike in USL alcove John closes USL door
