Re: Foolishly buying assumptions.
<snip for length>
Tell me. What percentage of equalization in how many years would you like me to plot using the SORCE data?
I don't want
you to plot anything for me

You should show how your results can be replicated and checked by others. Google docs
is extremely useful for this (admittedly not as useful for graphing as Excel). Though in fairness, working it out for myself may have helped with seeing a possible problem.
I believe the problem with your original graph is that a response coefficient of 0.033 is far too low. 0.0915 graphed above is closer to the mark, but really I suspect it should be 0.12 or even as high as 0.2, because what we're really interested in here is the solar impact on global surface temperatures: That's what our temperature records are about, and that's what is of most interest to humans.
If you leave a glass of water out in the sun it'll heat up in a matter of hours, not decades. A household swimming pool takes a lot longer - it's still fairly cool even by 3pm, and cools down again overnight so it never heats up completely. But if it were left in perpetual daylight, after a few days it too would would be just as hot as that glass of water. The difference there is simply the volume of water being heated.
In the case of the ocean, the volume is unfathomably greater. Even under moderate steady forcing, bringing it to equilibrium would take centuries or millenia.
But, we're not really talking about heating the whole ocean - we're talking about the surface of the ocean, and its effect on global surface temperatures. Heating the top meter or two is much easier. It's harder than heating a 1 or 2m pool only because of diffusion with deeper waters, and the big global currents which bring deeper waters up and surface waters down.
Point being that ultimately we're not talking about a near-linear curve here. It might take centuries to reach a 90% response for the whole ocean, as the great global circulation turns the waters over and over, but
in any given year over that period the surface waters (only a fraction of which are actually overturning with the deeper waters) will be warming up much faster than that average long-term rate. So the first year response will be considerably higher than you might assume.
That's how I see it anyway, and the reason is that I've only managed to find three or so bits of reliable (and comprehensible) data on which to base my guesses about response rates and thermal inertia:
> The IPCC's AR5
Figure 12.5, which for RCP4.5 (forcing stabilizes around 2080) takes a couple of centuries for the temperature response to stabilize
>
Hansen et al 2004, which suggests that some 60% of the temperature response should be apparent within some 25-50 years
> And a paper from the 1980s I once found on the NOAA site which for the life of me I haven't been able to find again; but it suggested that as much as
30% of the temperature response should be apparent
within three years
Those three points can't all fit a single, simple exponential equation like you're using, and it's those first three years which have too much response. Now granted, it was a fairly old paper so maybe it could be simply dismissed as inconsistent and unpersuasive. But, given all the above, I think it actually makes sense to consider it: The ocean is not a static body of water, so there's simply no reason to assume that its year-to-year rate of surface warming (and hence its influence/contribution to global surface temperatures) must be in line with the long-term warming rate for the whole ocean.
Plus, of course, the
land air temperatures have still higher response rates, and ~28% of global surface area is not something to be ignored.
So assuming that 30% in three years was accurate - and the corresponding bias towards earlier years over later - the response coefficient would have to be at least 0.12 or so. Maybe as high as 0.2, even. But, as you can see on your own charts, if each year's TSI had even just a 12% impact on global surface temperatures, the shape of its effect would be something like this:

Obviously not close enough to the shape of temperature graphs to suggest it's the dominant influence.
I'll admit that
with a very low response coefficient your claim of ongoing solar warming during declining activity isn't as absurd as I thought - if only you'd actually explained yourself all these times

But if we're talking about solar impact on global surface temperatures that very low coefficient is itself rather dubious.