The paint certainly wont cure right just sitting outside being subjected to freezing temperature with ice and snow on it. And it wont be helped by someone just "wiping" off the snow or ice - just etch and scratch it up before the owner takes posession of it.
There are chemicals (to put it generically) in paint that needs to evaporate out of it. This just can't happen sitting outside. Maybe I am misunderstanding but if the car was just painted - it should have been kept inside until the star shield arrived to protect it from environmental contaminants.
If it hasn't cured right - the damage may not be evident right away. In time, you may notice blisters and what looks like pin sized dots in the clear at first - later on the blisters pop, paint will flake and chip easily, and the dots deteriorate at a microscopic level that enables oxygen to get under the clear - particularly when washing or it rains. This is, of course, a worst case scenario - but if they have a descent warranty on the paint - then they should back this up.
Oh yeah - and if this is all true, when you have to remove the star shield in 6 to 8 years, the paint will come off in flakes along with the star shield because of its inability to cure properly and allow those chemicals to emulsify and escape.