This is a shorter & fairly steep (in some areas) canyon hike through second-growth forest along the Big Quilcene River. Falls View Campground remains closed, just park at the gate. When you enter take an immediate left & follow the moss covered campground road passing some bathrooms, eventually reaching the trailhead that's marked with a map of the trail. I've linked the map down at the bottom of this report. There's a much smaller loop (0.1 mi) just to the right of the canyon loop that leads you to the only complete view of the falls as they cascade down the canyon wall into the river. The longer loop begins when you descend down into the canyon with a few steep switchbacks complete with some stairs & quite a bit of loose rock. The trail is also narrow in some of these places too, maybe making this a little challenging for people who have balance issues like me or injuries, chronic pain, etc... trekking poles would definitely be of some help here. The bottom of the canyon is delightful with smaller waterfalls & little streams everywhere rushing toward the Big Quilcene river, then the stunning view of the river itself, tons of huge sword ferns with nearly everything covered in all types of moss; in total Olympic Peninsula style. Perfect for a partly sunny spring day. There are also a lot of rhododendrons along both trail loops & in the campground. They aren't blooming yet, but I'm sure when they do it'll just be even more gorgeous/enjoyable.
For the conditions: there was just 1 small tree across the canyon trail where the loop meets the main trail. Not a big deal to get over at all. As others have noted there is mud in a few spots but it's very minimal (no puddles at all) & super typical for trails here. We got there around 1pm w/ a single car in the lot which happened to be a family leaving as soon as we started down the campground road. We didn't come across anyone else until hiking out; 1 small group of hikers & a single person with a dog. On the way up to the TH the part of the road just outside the closed Mt. Walker gate was pretty much full, so if you're looking for solitude it's probably gonna either be here, Elbow Creek, Rainbow Canyon, or ~maybe~ Lower Big Quilcene.
Side note: Driving back, going south down 101 an hr or 2 before sunset we saw an Elk herd near Hamma Hamma River - just in case you're into that sort of thing
Happy hiking!