Yeah I've never heard of a Vespa GTS having problems.
After 8,000 miles I haven't had any problems with my LML except for the clutch plunger which was a £10 part so no big deal. I've probably cursed it now though.
125 4 stroke not too bad agree 200 had few probs boiling petrol in tank for one cam recall last time went on auto was having a few probs Gts wise later ones more trouble than early ones .A lot more sold tho world wide than LMLs and shared engine with other piaggios. Not too mention early 2 strokes every week one was seizing at one time.