I am a strong advocate of clockwise in summer/fall conditions (basically when the hut is open). The first advantage is the hut and its water source means carrying less water up from the notch and the hut makes a good place to take a break and hydrate. Clouds tend to form late morning into the afternoon on the Lafayette summit and since I am a fair-weather hiker, I prefer a view from Lafayette. It is not unusual for me to look back up the ridge from Truman and the summit that was clear not that long ago is now clouded in and on many hikes the clouds tend to "chase" me down the ridge to Haystack. I would rather have the wind at my back rather than facing it and the majority of the wind is from the NW/West. The other big advantage taking FW down is the ability to enjoy the water crossings and falls heading down. I tend to want to get my elevation in early so tend to blow by the falls when going CCW. I can also fill up on water at the hairpin turn onto the dugway where Dry brook is first encountered. If its hot day, the various crossings are nice to cool off and if I get my feet wet I dont really care. In the winter I have always gone CW as it tends to get the sun earlier in AM. The notch can always be quite cold and I find the cold air draining down Dry Brook means a very long time before a warm up. OBP tends to get away from Walker Brook quicker and slabs the side of Walker Brook so the cold drainage is less noticeable. Hard to beat the sun from coming over the ridge when the Bridle Path pops out on the top of the ridge. I have done the ridge several time in winter or winter like conditions and always CW. The biggest PITA is that the sun will align with the upper Falling Waters later in the day making the stretch from Haystack to The Shining Rock cut off "unpleasant". I am a not a grid hiker so usually stay home during the transition from early to later spring where time of day can really change the flow in Dry Brook.
The other option that is probably anathema to many of the "list folks" is I am out for fun, if I head out in the AM with a good forecast and the actual conditions are not so good when I get to the hut, I may just turn around at the hut after I had a chance to take a break in that sheltered spot neat the door. On several occasions I have headed up from the hut to the Lafayette summit and the winds or weather have degraded once the trail breaks out of the trees and either have turned around or just called it a day at the summit. There is a bit of terrain trap just south of the Lafayette summit, if the winds are from the NW, the terrain initially provides some shelter from the wind but once down in the saddle, there is no longer any shelter and by that time many folks make the call to keep going in degrading weather since they are possibly mentally impaired and equate the Truman highpoint as "the end" of the ridge despite it being a third of the exposure. Folks also underestimate the stretch from the top of Mt Lincoln to Haystack, that section of ridge loses the cover from The OBP ridge and the steepness of the ridge to the west can form some major turbulence. There have been several winter incidents where hikers heading up FW understimated conditions on the ridge and got beat up in that section and had a tough time turning around.
I have also been on the ridge once or twice after enough snowfall where the entrance to the trees to FW from Haystack was totally undistinguishable from the rest of the terrain. There was a large cairn built in the last 20 years that can help but in nasty conditions and possibly impaired thinking it's not at all obvious and several have perished in that area. If the AMC ever does spend the 2 million on the loop for anything other than administrative costs
I would advocate spending money clearly defining this route, possibly with a row of posts. If folks are offended by manmade posts in the non-winter periods, make them removable. Possibly the same is needed on Lafayette summit cone. Unfortunately I guess the hiking public will get to be surprised as to how AMC will spend the dollars as to date, I have not seen any public available info on that project.