Never been presented with that phrase. However, as much as this might upset your sense of equality, I am afraid to say as a male you are expected to pour wine etc. for your wife and all female guests. If you are a slow drinker this may be a little irksome; but necessary nevertheless! Marital bliss vs. Wine Elbow.
There are many alcoholic traditions in Russia. And one of them is "the hand that pours the wine can not change". Why is that? I think, even Russians couldn't tell you. Some traditions are so old, that you use them, but don't know the origin of them. If you ask a Russian about it, one can say to you that changing hand can lead to a quarrel between drinking people, others can say to you the alcohol may be changed in its taste, and some people will say to you it is a very funny tradition in drinking culture and they use it only for fun. In short, using this tradition leads to a luck.