It is talked about more often these days. I know I've been mentioning it here on this forum for a few years now. It's a very active area of research.
The airborne fraction of carbon dioxide appears to be stable currently, so I'm not sure how Earth is putting on the brakes. If the airborne fraction were decreasing, I would call that applying the brakes. But that's not the case. The carbon sinks don't appear to be increasing the rate at which the carbon is deposited, at least on the net balance. The oceans will continue to acidify, and depending on the patterns of precipitation some plants may even decrease the uptake of additional carbon. C4 photosynthesizing plants like grasses, which only account for about 5% of total plant biomass perform better under drought and high temperature conditions, while C3 plants which make up about 95% of total plant biomass suffer due to stress.
Putting on the brakes isn't a term the authors of the study used from what I can see. It appearss like it is more of the media stretching for a headline. The research team release, here,
Earth still absorbing CO2 even as emissions rise, says new CU-led study | University of Colorado Boulder
is considerably more concerned about global warming than you would get from hearing that the brakes had been applied.
“What we are seeing is that the Earth continues to do the heavy lifting by taking up huge amounts of carbon dioxide, even while humans have done very little to reduce carbon emissions,” said Ballantyne. “How long this will continue, we don’t know.”
“We’re already seeing climate change happen despite the fact that only half of fossil fuel emissions stay in the atmosphere while the other half is drawn down by the land biosphere and oceans,” Alden said. “If natural sinks saturate as models predict, the impact of human emissions on atmospheric CO2 will double.”
“The good news is that today, nature is helping us out,” said White also a professor in CU’s geological sciences department. “The bad news is that none of us think nature is going to keep helping us out indefinitely. When the time comes that these carbon sinks are no longer taking up carbon, there is going to be a big price to pay.”
It doesn't look like something we can get all complacent about.