As far as I know the global average temperature increase caused by humans is about 1C. You can't simply compare that to single days and say that we couldn't have cause this.
More records days per year seem to indicate more extreme weather, which is expected by climate change. The average global temperature doesn't have to rise much for this.
Climate change deniers see environmentalism as a faith based political movement. Well it is. Even if you believe in climate change, there is nothing that says we have to do anything about it! It is perfectly reasonable to just shrug your shoulders and not do anything. The drive to protect the planet is a matter of conscience. And that is how people need to be pursuaded. Science is just not very convincing in everyday life, even among educated rational people.
"This morning I found a sheep dead with bite marks."
"Your singular data point doesn't mean anything!"
To be more clear, the scientific offense of cherry-picking only applies when one intentionally picks a data point against the body of evidence. You can't look at each individual raindrop in a downpour and argue that each one is only a singular data point and therefore it ain't raining.
You also misunderstand that a small increase in global temperature can, and is predicted to, cause very large, local, increases and decreases in local temperature, largely through disrupting the world's prevalent wind and water patterns.
It's behavior like this, reeking of bias in which singular data points count and which don't that gets the other side to think climate change is just a base/faith political belief instead of something derived from evidence.
Even the article itself is editorially-suggestive. The question is posted throughout the article "what fraction is due to climate change? we don't know!". A single record-breaking 20C day above a trend of say 5C is 15C warmer, whereas the best guesses for the magnitude of human-caused sub portion of global warming is about 1C. The quote in the article say says the warm record is largely due to global warming is totally misleading in the R^2 technical sense, and even needs to be couched in the technical language of "well the trend of warmer temperatures..."
For full disclosure, I believe climate change, but also that these singular data points have very little information value.