The killer here is likely to be planning restrictions. The other problem is wind is actually more efficient when centralised. The large turbines that our PM hates so much are much more efficient than small turbines.
With planning restrictions, I hope that something small and noise-free could please the nimbyists. Something(s) the size of a Dyson fan on the roof-line would look cool.
With regards efficiency, I think it's not about replacing the large centralised turbines but augmenting the house's existing solar. A typical single solar panel that generates 200w peak makes about 500Wh/day (on sunny days). If (big if) a turbine can generate 20w average over 24 hours, that's 480Wh extra.
But as @desdiv correctly points out - the idea is nothing new. Here's a good looking 20w turbine that I would be happy to have on my roof:
My memory is a bit hazy on this, but I think that turbines place a lot of stress on buildings that they were not designed to handle. Retrofitting the required strength into the building will be expensive given what our tradies charge.