June 18 you will likely find that the switchbacks are not usable yet, so people will be climbing the slope west of the switchbacks (the "chute").
In good conditions, a few people might be going up that in trail runners and not much else, but that is really NOT a good idea. Ice axe and crampons, and knowledge and experience using them is a much better idea. Do understand that the slope can ice up in the afternoon, and become way more dangerous compared to mornings when sun softens the snow.