It depends on how you define "quite well". They are definitely directionally correct and in the right ballpark. This is a politically sensitive research area so the researchers are incentivized to make strong claims that you wouldn't make about, say, predicting sports outcomes or the stock market.
The first link you posted is kind of punting on the hard part by saying that the reason the models overpredict warming is because CO2 didn't rise as much as they expected so if you put the actual observed CO2 concentration in then the temperature prediction comes out closer to what was observed. But the CO2 concentration is a parameter of the model, so they didn't capture its dynamics properly and then had to retroactively change it to get the observed data.
Again, I want to reiterate that I'm not disputing the process of climate change or saying it's not a problem. I'm saying that modeling it is hard and historically the models have overestimated warming.