Just a heads up, you can't lift the 959 with the Hybrid stand like in the picture if you are going to take off the front wheel. You will need to lift it by the brake sanctions, because the pinch bolts face down not forward.
Very true, here's the location (pink circles where the stand lifts)
is referring to:
Irrelevant, but still related, you can't remove the front wheel with the headlift unless you rotate the handlebars because the axle doesn't clear the stand - now that is sketchy.
Headlift stand ... is more stable.
I would say this isn't true, but marginally so. I've sat on my bike while on headlift and it feels significantly more sketchy than when it is on the forklift.
However, putting on [the headlift] type of stand takes more time, and has potential to scratch front wheel fairing.
This is true, kind of a pain in the ass to line up. I haven't looked at fender, but I'm sure if I did, I'd see some scratches. The headlift arm is wrapped in a thin rubber material, similar to what's on the handle which helps, but its still a tight fit when putting the stand into place.
The forklift stand (lifts from underneath the fork ends at the front wheel) has essentially the opposite pros and cons.
I wouldn't say they have opposite pros and cons, its just that one does one thing better than the other, but at the end of the day, they both do great at their jobs.
I don't think I will ever do fork maintenance on my own. Personally, the deciding factor is whether or not I need to take weight off the front forks. Being in a region with winters, the bike can be in storage for months at a time. Do forks benefit from having weight taken off them? Can I do harm to the forks by always keeping them compressed or having them uncompressed for long periods of time?
Fork maintenance (in particular any service that requires removal of a fork tube) is the only reason why you will use headlift stand. There is absolutely no benefit to unloading any suspension component for storage. Damping systems only experience stress under dynamic movement and aren't effected in static scenarios, so the only stressed component are the springs. Springs won't be damaged (ie. plastically deform) unless they get catastrophically bottomed out, at which point other stuff has broken.
You gain some benefit from unloading the tires during storage, but that's also null because flat spots don't develop unless its stationary for years on very old tires. Even so, you can move your bike a couple of inches once per 3-5 months and the tire will elastically rebound and be good.