Heard back from Yosemite NP. They confirmed the trails located north of the valley in Toulumne, within park borders, are open. They specifically confirmed for me the JMT up through Lyell Canyon is open. Day hikes do not require permits, but overnight trips do. Unfortunately, it seems getting an overnight permit is pretty difficult right now. The Yosemite Conservency is not issuing permits, and the only way to get a permit as far as I can tell is to do so in person at one the ranger stations on the east side. Waiting to hear back from the park if the ranger station in Toulumne is open or not.
