Any system with amplification can be evaluated as a black box, i.e. we do not know what is in the box,
but the inputs vs the outputs can be evaluated.
The only way for the 2XCO2 forcing input of 1.1C to become the total ECS warming of 3C is through
the application of a 2.72 feedback factor, 1.1 X 2.72 = 2.992.
Whatever feedback that exists, must produce this feedback factor if the predicted amplified feedback are correct!
The problem is that within the instrument record, that level of feedback cannot be demonstrated, beyond a few rouge years.
The long term average is much lower, closer to a feedback factor that would produce final warming of between 1.5 and 1.8 C.
Sherwood's use of ECSs and a sudden quadrupling of CO2, invalidate any findings, because
let's face it, in the real world the CO2 level does not suddenly quadruple.
The CO2 level has been increasing by about 2.74 ppm per year for the last 20 years,
why not simulate what is actually happening?
As for the maximum warming studies, you say the warming does not end, but let's look at the graphic out to 1000 years
for emissions 10X greater than normal Human emissions?
The time lag between a carbon dioxide emission and maximum warming increases with the size of the emission
For 100 and 1000 GtC pulses the maximum warming slowly declines after reaching a peak.
View attachment 67384530
For reference, Human emissions are about 9.6 GtC annually.