The Wobbling Sun Gravito-Radiative Global Warming Effect

In PS4 of the previous post a comparison was made between (one-way) electromagnetic-radiative heat/energy transfer by (two-way) electromagnetics waves, which is very real, and hypothetical gravity-radiative heat transfer by gravitational waves for which experimental support is very weak. 

If gravitational wave transfer of energy is real, a wobbling Sun would have a heating effect on the Earth transmitted by gravitational waves, which would add to the familiar electromagnetic-radiative heating, and so add to global warming. But no such a scenario is mentioned in the reports by IPCC.  We can thus conclude that it is not real, since IPCC supposedly takes in all real effects on global warming. 

Of course, a lack of gravity radiation effect from the Sun, could be that in fact the Sun is not wobbling enough to give a measurable signal. In any case, its effect on global warming appears to be small. This should come as a consolation in difficult times.