http://wiki.seasteading.org/index.php/Image:Independent_buoyancy.jpg
Such a thing would give you the absolute minimum connection to the waves.
When a huge wave comes along, most of the wave will completely miss.
As long as the legs have near neutral buoyancy, you don't have to worry about it losing stability from large waves going above and below the buoyancy module
Scale is all whack in the picture
Example: A twenty foot diameter sphere provides a whopping 2,000,000 pounds of buoyancy
4pi/3*20^3 * (60 pounds/sq ft buoyancy) = 2011200
Is that sphere supposed to
Is that sphere supposed to rest on the water interface? Flotation on the water interface wil always interact strongly wiht the waves, a wave being a movement of the water interface.
SWA
A smaller waterplane area is the objective with all designs. Whether a single spar or multiple legs the idea is keep the cross sectional area[s] at the waterline as small as practical to minimize the effect of the interface on the stead.
SWA is objective of almost all designs
The only one that is not after small waterplane area is mine:
http://wiki.seasteading.org/index.php/User:Vincecate/Tension_circle_hous...
Here the idea is to be so much wider than any normal boat a family could afford that it is stable enough to be on the deep ocean.
Similar idea
Here http://wiki.seasteading.org/index.php/User:Joep/PillarStead
Pillarstead
The pillarstead does not have enough reserve buoyancy in the legs at/above the waterline. It would tend to roll (and/or pitch). Maybe that could be countered with passive anti-roll tanks, or Frahm tanks. But it would need an active ballast system because everytime the wind changed it would affect the heel angle. Also everytime a crowd ran to one side to look at something.
Simple maths
Connectivity to waves is very simple: it has all to do with the density difference between water and the volume of material inside wave influence. The closer those densities are, the lower the reaction to wave (it becomes zero when they are identical). This, of course, does not take dynamic effects into account like drag.