Just an idea, but we all know that if the oil in the tube coming out from underneath the air box is not purged occasionally it can back up into the airbox, causing it to puddle at the lowest point. I do know!
If the bike has been on it's side, could some of this engine oil got onto the air filter which as standard is quite soft and absorbent.
I would try checking the air filter or take it out completely and see if this improves things.
Obviously be careful as without the air filter in place any dust or contaminents can get straight into the throttle body.
Just a thought.
Cheers Steve.
PS when you fire it up without the snorkel and filter it sounds great!