So the troposphere doesn't show rising tems? Yeah, so? The troposphere isn't the globe.
And, it turns out that Peter Thorne comment was quite dated. After some buoy and satellite calibration issues were sorted out, turns out the tropical troposphere is indeed warming as theory predicted.
From Wikipedia, Global Warming:
Temperatures in the lower troposphere have increased between 0.13 and 0.22 °C (0.22 and 0.4 °F) per decade since 1979, according to satellite temperature measurements.
From Wikipedia, Global Warming Controversy
Instrumental record of tropospheric temperature
General circulation models and basic physical considerations predict that in the tropics the temperature of the troposphere should increase more rapidly than the temperature of the surface. A 2006 report to the U.S. Climate Change Science Program noted that models and observations agreed on this amplification for monthly and interannual time scales but not for decadal time scales in most observed data sets. Improved measurement and analysis techniques have reconciled this discrepancy: corrected buoy and satellite surface temperatures are slightly cooler and corrected satellite and radiosonde measurements of the tropical troposphere are slightly warmer.[117] Satellite temperature measurements show that tropospheric temperatures are increasing with "rates similar to those of the surface temperature", leading the IPCC to conclude that this discrepancy is reconciled.[118]