It's part science and part art when it comes to figuring out how much/how far inland for the marine influence. Warm lake = rain can definitely be overly simplistic. There are all kinds of factors that go into it, such as how cold the airmass is, lake water temps, exact wind direction, wind speed, precip rates. If we had 850 mb temps of -15C tomorrow, then Alek would be ripping snow with significant accumulations lakeside despite onshore flow and water temps of 50+. But we don't have that so it's a more nuanced picture as you move from lakeside to farther inland.