we're talking about a 7% admit school here, without telling us an SAT (which will need to be mid 1500s probably), with a marginal time for the amherst team. you're not in a dictating spot where you can nitpick coaching out of the gate. i would make a list of 10-20 nice schools with your major(s), get in touch now -- these type teams will have admissions prereads -- and make contact. see how they respond. see if you survive prereads. you need to get that ball rolling now as they may do early prereads, early admissions, and fill a roster early.
only when the process starts to move along and you have feedback and admissions responses would i care about coaching. because the picture of elite school admissions i get is you apply to several schools with 5-10% admissions, plus maybe safeties, and you kind of take what you get. maybe amherst and bowdoin say ok, but chicago, NYU, williams, and carleton say no thanks.
only at that point would i care if team a appears to be better coached than team b.
you're not asking d1, you're not going pro, and on the other end you're not applying to some 50% admissions d3 where getting in can be predicted.
i would save the nitpicking for deeper in the process when you have a list of feedback schools who want you, and you're either deciding who gets an application, or which admit gets your deposit.
you're trying to spin this like an easy admit and is it worthy of your sports when the process works the opposite, they barely let anyone in -- 1 in 14 or so -- and you may have only so many viable options who will let you go.