The snow is skiable and permanent at about 8K’, but I would not recommend it unless you’re very experienced at back country touring. Lots of deep snow drifts, rapidly melting spots, barely exposed boulders, etc.
Several times I thought I was on even ground I sank into a cluster of boulders that had been obscured by a drift.
I don’t even think skins would be much help on the climb just due to the trail characteristics. Definitely a small snowshoe/snow approach crampon like the Petzl Snow Leopard would work well.