What can they do? Well for starters either an employee or I would even volunteer to hook up some sort of data monitoring device to the car/lock to see if the signal is coming from the car it self, or the fob (if they can even separate the two).
If it is the FOB then they have to go to the drawing board with Strattec and come up with a new design. Preferably a barrel design as to not have a perfectly flat surface I feel would negate pocket-pushes.
Personally for PEPS FOBs I am not a fan of the swing out key, it is pointless unless your battery in your FOB or car is dead and you need the physical key. So with push button start cars, make the FOB smaller, sleeker, rounder. Put the blade inside the fob keeping it as small and neat as possible, add a release like Dodge does to get the blade out. Or give the customer more options, like a smartphone option that communicates directly with the car (no onStar middle man). Then they can decide if they even need the fob/key with them at all times.
For non PEPS FOBs go back to separate key/fob. These integrated key/FOBs are just too big, much bigger then when key-less entry was first introduced which is the wrong direction.
If it is the car some how unlatching the trunk on it's own, that is a huge problem, probably bigger then a FOB issue. If that type of gremlin was unlocking doors, you know they would be on it like butter on bread, so why isn't this any different?
But it will all start with Buick acknowledging a problem, which I imagine they don't like to do as it leads to recall$. Then it would require someone to monitor a vehicle that is known to have the issue for quite some time. The question is, how do we persuade Buick to go down this road?