The new snow won't change the avalanche danger much. Triggering an avalanche that breaks deep into old layers of sugary faceted snow remains the most serious threat out there today. Chances become less and less as the spring progresses. The last warm up really melted the snow a bunch and now it is frozen up again. This melt-freeze cycle should continue to stabilize those old weak layers. All that said, just keep in mind, there is still a chance to trigger a dangerous avalanche and there's no good way to determine which slope will release and which one won't.