I don’t think post 241 said that there was a lag due to solar variability.
To buttress your case, you provide a link to a study by James Hansen and others. The study does not appear to consider the sun. If you don’t consider the sun, you won’t find a solar effect.
Here is what it said: "Someone is forgetting some very basic thermodynamics. The heat source may have reached a constant temperature, but the Earth isn't necessarily at equilibrium with the new warmer environment yet. Comment by Awatson — 21 Jul 2005. AaroninCarolina: "This echoes my earlier point about a time lag in response to solar irradience changes"..
To buttress your case, you provide a link to a study by James Hansen and others. The study does not appear to consider the sun. If you don’t consider the sun, you won’t find a solar effect.
An examination of climate forcings relevant to current observations, which is what the Hansen paper contains, considers that which is changing and how those changes will affect climate. While there may have been a slight increase in solar activity influencing temperature up to the 1950s, there has not been a climatically significant change since then. Since there is no observational evidence that changing solar activity is influencing current global temperature trends, there is no solar forcing change to examine.