The snow is fresh, but you can still remember what it says in the US Army survival manual: it says that you must always purify your drinking water, even if the water was procured by melting snow and ice.
I would generally forget the US Army Manual about boiling the melt water gathered from fresh snow fall. The melt water from clean snow will be perfectly OK to drink in normal circumstances. The US Army Manual instructions are attempting to deal with a couple of issues. Firstly, boiling would help with dealing with biological warfare toxins that may have been spread over that new clean virgin snow which fell during night and secondly boiling the water means a hot drink rather than a cold drink, which may cause problems with a contribution to hypothermia or cold weather injury.
The first point is not really an issue unless your fighting WWIII, but the second could be as it would be preferable to have a hot drink rather than a cold drink. It would be preferable to have a cold drink rather than eating snow and it would be preferable to eat snow rather than becoming dehydrated. Being dehydrated is the worst of all possible circumstances for cold weather injuries.
So it would be better exchanging the plastic cup for a nice lightweight titanium metal one and carry some sachets of Belgian double hot chocolate in your survival kit.
Titanium Mug with Belgain Double Hot Chocolate - best outcome.
Titanium Mug with Hot water and some pine needles - better outcome.
Plastic Mug with cold water - keeps you hydrated.
No Mug with dripping cold water - certainly not idea as you may have to carve/improvise a wooden cup - keeps you hydrated.
No Mug and no Knife and no fire - You may have to start eating snow, high possibility of cold weather injury especially if there is nothing to eat.
No water, no knife and no fire and no food because you have remembered from some folks survival training that advocate 'not to eat the snow at all costs' - leads to dehydration and the rapid onset of a cold weather injury.