Are you in Club (Business) with LG as well? In that case, Alitalia's Canaletto Lounge at T2 awaits you (I'd still advocate the T4 arrivals lounge, but as this is airside, you'll have to clear security at T2 again, which is a bit of a nuisance - so if you decide to leave T4 a bit earlier, there's always Alitalia).