This isn't really related to the JMT and is not a search for a "workaround" but I am somewhat curious why the Chilnualna Falls trailhead out of Wawona is not a more popular entry point to do loops in southern Yosemite, potentially making possible long loops that could incorporate parts of the JMT. The starting elevation is not much different from Yosemite Valley and rises up quickly to the falls, just as one would hiking up to Nevada Fall from Happy Isles. Then, you're at higher elevations and could cross over Merced Pass and Red Peak Pass, eventually coming down to either Merced Lake or Vogelsang, and then proceeding to Tuolumne (either via Rafferty Creek or Lyell Canyon) and then back on the JMT toward Happy Isles. I'm not suggesting crossing Donohue Pass which would not be allowed on this permit.
Maybe there are good reasons why this isn't a common entry point for longer trips, but the quota is large, YARTS serves Wawona, there's a campground and lodging in the area for prior to the hike, etc...?