You could build an airbox to act as a holmheltz resonator and if you got the size and shape right it would give you a small increase at one specific rpm but it would be a lot of work for a comparatively small gain. Some of the bigger bike manufacturers have designed airboxes along these lines to alleviate problems (flat spots etc) at a specific rev range in the past. It was a long time ago that I read up about this but I think one of them might have been the early SV1000?
Lambretta's don't go fast enough to benefit from any ram
air effect as this doesn't have much benefit below 100mph.
If you could build an airbox to provide a good size (as big as possible) reservoir of cool still
air then that's probably about as good as you'll get.
I've often wondered about the wisdom of running open mouth carbs with a hole in the panel. Yes you get the coolest
air but it can't be consistent. If you think about how a carb works, then the flow of
air through the carb sucks fuel through the jets. So when you're wizzing down the road and the engines sucking in
air through the carb, the
air rushing past the carb mouth is trying to suck the
air/fuel mixture back out. So if you've got an airbox it makes it easier for the engine to breath and your jetting more constant regardless of what gear you're in as long as it's not a restriction. The compromise is the size.
So fit a massive rickman top
box from a c90 on your back rack and run a pipe of constant internal diameter tube (the same ID as the carb bore) from that over as straight and as short a distance as possible to the mouth of the carb.
I doubt you'd feel a tangible performance difference from any of these measures alone but if you tested with an AF meter it should allow you to jet leaner therefore making a bit more power. A dyno though very good indicator doesn't replicate the
air flow at speed around the scooter.
A remote filter is probably the best real world solution, gives you the protection of having a filter and removes the restriction of the standard airbox. The area under the loop and panels acts as a big albeit hot airbox.