This is unfortunately indicative of our current band-aid approach to solving human-factors problems. It applies only to southbound aircraft off RWY24L/R.
As you will know, on RWY24 the smaller/quieter aircraft on southbound routes will fly a LISTO sid, whilst the larger jets go on a HONILEY. On RWY06 all southbounds go on a LISTO - hence on occasion a crew will get it wrong on 24 and fly the wrong SID. This is hardly surprising, as you need to tune in the HON VOR in order to fly the LISTO SID.
Given that one route turns left immediately on departure and the other goes (pretty much) straight ahead, you can see the potential for problems when we're busy with departures. Hence the so-called "confidence check " on departure. It applies only to these two routes.
I'd suggest that if there's a flight deck workload issue, you include your SID (when on one of these routes) in your initial call to tower, either on 119.4 for 24L or 118.62 for 24R, thereby avoiding an extra call.