The trail to Vicente Flat is heavily used, and there are many campsites at Vicente. The trails beyond Vicente will be in varying states — trails in Ventana tend to degrade rapidly due to erosion and deadfall that happens constantly. You should be prepared for lots of ticks and poison oak.
Smaller camps like Goat can be made even smaller by deadfall, and while the presence of others can easily fill them, it’s less likely you will have company because most people go to Vicente and turn around. There tends to be established campsites because they are often the only places where camping is decent — this wilderness is extremely overgrown. A friend who lives in Monterey who hikes there a lot typically takes his little trail saw, not for campfire wood but for partially clearing trail. If a redwood falls across the trail in some parts, you’re turning around until the trail crew comes out to either hack steps in it or bring the really large crosscut.
If you are doing the loop going up from Vicente, prepare to be confused. People wander up the canyon and get lost. The trail to the Cone Peak Road zigzags up the ridge and is highly prone to deadfall. There are a couple of creeks that come to a confluence above Vicente Flat and there are use trails that wander around. The actual trail can be difficult to distinguish, but you should be crossing the creek, crossing a side creek, crossing the creek again, then heading upstream with a climb over a fallen redwood with steps hacked into it. The trail should start to switchback after that.
The road to Cone Peak typically closes in winter. It can wash out. N-F Road is paved, but slow due to the narrow winding nature of it. The FHL base is now no problem — the road was rerouted so you no longer have to check in with the base personnel. You drive past the base, across the bridge, and onward.