Ok,
my 2 cents worth here,
For many years, i have always left the flap handle the neutral position as it does help very much to keep the flaps up after sitting for many days/weeks. However, i was told by a very experienced Commander pilot that i should leave them in the up position when shutting down the plane, and told- who cares about drooping flaps anyway?. Well after hitting my head a few times on the buggers that last few years, i am back to putting them in the neutral position and my head doesn't hurt much anymore.
For 20 plus years operating the 680FLP i have never had an issue with leaving them in the neutral position but i do live close to the north pole it feels like at times throughout the year.
Now, i am not giving anyone advice here as everyone has a machine and probably a different opinion/experience here.
Maybe a mechanic that really knows the hydraulic system in and out can verify this here, but when leaving them in the neutral position you actually somewhat,"pressurize" the fluid within the valves. When moving the flap handle into the up position, you don't "pressurize" the fluid between the valves and it will eventually dump the flaps over time- varies between each individual plane.
Not sure if there are any examples out there on this, but pressurizing the fluid (flap in the neutral position) and putting some heat on the hydraulic system (by sitting on a hot ramp in the sun all afternoon), could possibly cause the excess pressure and stress on the orings and seals, and maybe a hydraulic leak.
680FLP has main pressure of 3000 psi skydraul, 840 has 1000 psi of MIL-PRF-83282, Not exactly sure of what pressure actually runs through the flap system though on each bird.
Anyway, sorry for the long post here, it would be interesting if someone could give their experience of any problem or issue in the past with leaving the flap handle in the neutral position. Currently, i can't provide any negative experience with one, but i want to keep it that way?