1:48 a.m. on July 9, 2011 (EDT)
No, I have often used my bivies without a tarp and with total success, an example would be solo hiking across the "Earl Grey Pass" trail in various summers and in some fairly severe rain storms. This, entails camping above timberline and in some nasty weather, even in summer.
I seldom use one of my winter bags in such conditions and my usual choice is an ID Pl. overbag or the WM or FF light down bags I had. I prefer a tarp, but, pitch it high so I can stand under it and this has no real effect on the bivy fabric.
I would stress here, that I am posting on the advantages of bivies in winter camping, not on winter shelters in general, as this was the original query. This, is why I have not suggested the ID or Hilleberg tents appropriate for winter camping and I have two of each, but, for short trips, just go with the bivy-tarp.
I also have found that NO tipi will come close to handling the snow load that a Mega Sola will and my experiences in northwestern BC and the Kootenays, were in some of the highest snowfall regions in North America, so, given this, I think that my choices have some merit. I am not an urban office worker, but, I do and have spent a lot of time camping and living in deep snow and above timberline.
I might point out, that Andrew Skurka, a very accomplished guy, stated that his MLD shelter was a "three season" one and only with caution would he consider it a "four season" type. So, I think that he may be as posted on his gear lists, trying to warn people to be careful in attempting to emulate him and not trying to recommend his choices as the best for every hiker.
My winter pack, exclusive of snowshoes and poles, will weigh about 35 lbs. and that has kept me warm, dry, safe and comfotable on my four day treks for decades. This, has worked so well and my ID gear has lasted so long, that I feel comfortable with recommending it to anyone interested in winter camping in severe conditions.
I imagine that you have used your MLD shelters in winter treks and this is why you now prefer them, but, I have never seen a pyramid that will handle snow like the Mega Sola, does and so I will struggle on and hope for another few decades of wilderness fun, the McKenzie Mountains in the NWT interest me and the job I mentioned above will enable me to spend several weeks alone there, something I am very eager to do.
Anyway, I have made my points and hope they will be useful to the OP, I will leave it at that.