My experience with 4 point crampons is that they are good for nothing! I carried them on many trips, and whenever I used them, they were inadequate on any type of slope. They will not provide the protection you need and/or desire.
Until the trail is free of snow, most likely sometime in July, you’ll need to carry an ice ax and crampons. Depending in the conditions on the day/time you climb, you may/may not need to use them. If conditions get icy, and you don’t have them, you will not be able to advance safely. If that happens on your ascent, you’ll just need to turn back and you will miss the entire point of you’re trip. If things ice up later in the day, as they often do, you’ll risk your life trying to descend… Cheap trip/life insurance in my opinion.
