I can also confirm that the MWT will not be open until the cables and chute are free of snow which is currently expected to be on or after July 1st.
I don't condone breaking the law, but a friend of a friend went up the MWT earlier this week and took the switchbacks. He brought microspikes, but told my friend that you can get through the cables without them by stepping on the rocks to squeeze between the snow pile and the cables. He says that area is currently doable with some caution, but he thinks that pile won't be completely melted out until late July. According to him, the conditions look very similar to this:
https://www.timberlinetrails.com/sitebuilder/Photos/Whitney/W137Y.JPG , though the section you have to squeeze through is a bit narrower.
He did the ascent in the dark on a weekday to minimize the risk of being caught, fined, and escorted back down the mountain. He summitted just before sunrise and took the MR back down.