It is feasible the immediate shore does experience some mixing. This is where its much better to look at forecast soundings then fixed levels (such as 850 or 700). You can get very sneaky, subtle warm layers. There are also other processes to consider as well, for example, if there is a tremendous amount of latent heat release ongoing that can negatively impact snow growth production and result in poor enough snowgrowth that precip is almost sleet like. I believe something like that happened in 2013?