if you trim fan leaves, but leave all the little bud leafs in tact during drying, it'll dry the bud out more evenly... that rate of transpiration throughout the entire bud will be even ensuring that drying throughout the bud will also be even... if you trim these leaves prior to drying, drying throughout the bud wont be even and you can get some moisture spots, which will dry out but takes longer since the moisture spots are within the bud themselves and the moisture has to "migrate" to the outside of the bud... it will finish evening out the moisture left in the bud during curing though.. and by moisture spots i dont mean spots of wet bud... just spots where water is still present within the bud, which means a "greener" flavor since some chlorophyll will still be present and some extra moisture... also wether you hang the entire plant or just branches is up to you... entire plant is quicker to trim and easier to hang BUT requires more room, as much room as the plant grew, to hang and dry... individual branches take longer to trim , but require a lot less hanging room since you can hang them in closer... again thats up to you and what you want to do and your allotted space...
now with that said imo and what i personally do is cut of individual branches, trim the fan leaves and buds, and then hang the branches... couple reasons...
1) even if the bud dried more evenly with the little bud leaves on them its not enough of a difference IF YOU PROPERLY CURE YOUR BUDS to make much of a difference in flavor.. just make sure you cure them for a week or so to allow any extra moisture in the bud to either escape or to even out throughout the bud...
2) trying to trim those little fucking leaves after they dried is a pain in the ass... this is really the biggest reason.. itll take you a lot longer to trim the buds if you dry and then trim than if you trim then dry...
when it comes down to it its really up to you... if you take the time and do it right and be patient, no matter if you trim then dry or dry then trim, you'll end up with smooth tasty smoke... its really up to you as the grower and what you want to do... i trim as i said first, dry for 5-7 days, then cure in mason jars for a another 5-7 days.. just depends.. the longer the cure the smoother the smoke... anyways... i "burp" the mason jars about 3 or 4 times a day to let fresh air in... thats just me tho... again.. it just comes down to what works for you and what you want to do as the grower!!
good luck and good smoke