I doubt it's as bad. Voronwe didn't find it life-threatening, although the refugees from Nargothrond did find it life-threatening (maybe only the Sindarin ones??). But in a situation like that, people would still take the shortest route they can to safety, and not split off to go alone. I have a lot of trouble believing Celebrimbor would choose to flee all alone, over a hundred or more extra miles, surrounded by enemies, without even trying to get into Doriath. I could believe, though, that he would arrive in Doriath, get a very poor welcome, and ask to stay only over the winter so he can take a boat to Balar in the next summer when conditions are sane and the river is ice-free. Then he (and whatever Feanorians come with him) would be in Doriath only very briefly.