I'm planning to climb Muir, Whitney, and Russell, hopefully late next week. I have a perfectly good 4-season tent, and I'm planning to leave it at home. I'm bringing a new ultralight one-person tent and camping at Iceberg Lake. I'll build walls around the tent and stake it down with some homemade "stakes" that are more like ultralight pickets.
If you have a decent freestanding three-season tent, and you set up your camp carefully, you should be fine.