"are there negative effects from not stirring?"
Potentially.
Lees that sit compacted without stirring may produce sulfur odors. This is why battonage protocols are performed in winemaking. If you've racked and have only a layer of fine lees, it may be less problematic. This is not to say that every time a mead sits on lees without being stirred, bad things will happen. In some cases, people keep their mead on the gross lees without stirring, and it works out fine for them. On the other hand, if you try this and your batch gets stinky, you'll know why.
You pays your money, you takes your chances.