You might add that the access road is closed in winter, and the whole Mineral King area is pretty much closed during this time.
The fee to enter SEKI is now $20 for 7 days, $30 for a yearly pass.
Also, you might point out that Florence Peak actually sits on the boundary of Sequoia National Park and Sequoia National Forest. You can hike to it from the National Forest side as well, though the approach is definitely longer.
Link to webcam mounted on Sherman Peak in Sequoia National Forest and pointing towards Farewell Gap. Florence Peak is the rounded peak on the far right.