Your daughter must do some pretty amazing things if they can bring glory to a resume. ECs that can elevate a resume to that extent generally come with some level of outside recognition (state and national awards, etc) so they’re easily found with a simple Google search and would almost certainly warrant a mention by the school GC. I think students who have exceptional resumes but generic GC recommendations are going to be a tougher sell to adcoms who may wonder, ‘if this kid is so great, why doesn’t the GC know about it?’