Simple question, - will wing with winglets will be less sensite to air turbulences ? And be more structural efficient ?
First answer, It depends?
Okay so I don't really know, having an extra 1/8th to react air currents might be noticeable. On the other hand having vert surface could add drift and affect holding heading slightly.
More efficient, let's cover that.
Sooo... Short span -stubby- aircraft do benefit from tip fences,
the better direction for a winglet is down, but that goes against ground clearance, also, the more complex structures are rarely built & wouldn't be expected on a homebuilt plane. Compared to our Strojnik example I doubt you will have appreciable gains; outboard taper is more effective than AR alone, efficiency @AoA increase, during takeoff banking or low cruise manueving is worse for no taper.
However, take note, at fast cruise, A.K.A normal sport plane operating range with lift coefficient 1/4 or less parasite drag, surface friction dominates and drag due to circulation is small fraction of F*D to maintain airspeed.
You did not specify winglet height, and taking the common build,
theory shows pretty good data for something like 1M verticals.
Flaps should not lose effectiveness, but the mass will take
effort to accelerate, which again, is not ideal in sport planes.
As far as structure goes, what I found in stubby, is that my
aerostructure was basically extended for the stablets, and
I would wager increasing area or span considerably easier
than using tip fences. Of course, vert surface was sought.