Anything about this from a source that isn't a fascist tabloid?

https://doi.org/10.3390/jmse13091641

Statistical tests were run on all selected datasets, taking acceleration of sea level rise as a hypothesis. In both datasets, approximately 95% of the suitable locations show no statistically significant acceleration of the rate of sea level rise. The investigation suggests that local, non-climatic phenomena are a plausible cause of the accelerated sea level rise observed at the remaining 5% of the suitable locations. On average, the rate of rise projected by the IPCC is biased upward with approximately 2 mm per year in comparison with the observed rate.

The article has no basis in reality. The paper itself indicates the sea level is still rising. The papers just about the rate of rise. Which if your geotechnical engineer designing coastal features, you should incorporate a more accurate projection of sea level rise.

This paper does nothing to disprove climate change at all, it doesn't even say that. This article is using this paper incorrectly to make assertions about things the paper didn't say - this is why using propaganda outlets for science news is a really bad idea.

... Isn't the rate at which it is rising quite a big deal, and exaggerating the rate of the rise is misleading?

Sure! It's really important to develop better models for projecting ocean level growth.

It does not, however, turn everything on its head , and it does not discount the premise the climate is changing.

The news article is politicized beyond what the science says.