For example, the observations of the recent decline in sea ice are significantly worse than the models predict. [1]
Also, current data show the oceans are warming about 40% faster than predicted. [2]
[1] https://skepticalscience.com/graphics.php?g=35
[2] https://www.scientificamerican.com/article/oceans-are-warmin...
There has not been a "warming trend for millennia." The temperature rose steadily for about 1000 years since the Roman times, up through the Medieval Warm Period, then cooled steadily until about 1800, and then have shot up recently.
Take a look at the graph at https://en.wikipedia.org/wiki/Medieval_Warm_Period
So your statement "over by 1950 and we wouldn't expect any further warming since then" has no basis.
https://earther.gizmodo.com/exxon-predicted-2019-s-ominous-c...
The only thing its scientists got wrong was that what they called “potentially serious climate problems” wouldn’t emerge until the late 21st century. So much for that.
The linked article refers to the loss in biodiversity, which is in my opinion not really related to climate change. It’s related to the fact that we humans leave less and less physical space for other species. I think it’s wrong to combine the two effects.