That's not exactly true. Maybe in some less well used WIC's, but generally it's a fairly quick triage process within a couple of hours, but then it's gonna possibly be x-rays then a wait while the clinical practitioner reviews said x-rays and you will never jump ahead of anyone else waiting. They don't prioritise in terms of treatment as no-one is more urgent than anyone else except when people walk in with chest pains, diabetic or breathing problems. which they do, occasionally.
It pays to go at quieter times like between 3am and 6am. Also ambulance crews will be taking people into WIC's that don't need A&E.
I would say that for most WIC's, allow 4 hours.