(Below is an edit in response to a dead reply which represents a not-insignificant viewpoint) In response specifically to "destroying credibility" - if media organizations want to act responsibly and highlight that these events are likely results of climate change due to their frequency while also admitting that similar events would occur without any climate just but with much lower frequency and potency then I'd be extremely pleased with the job the media is doing. The Mark Twain saying "A lie can travel around the world and back again while the truth is lacing up its boots" is extremely relevant - lies are being actively spread in the media and they need to be countered somehow. And, at the end of the day, it isn't false to say these events are related to climate change - it's just that a few happening occasionally isn't a good metric to go by.
"As long as the other side uses illogical arguments, then I should use illogical arguments as well."
It also helps extremists frame the conversation, whereas we should be rewarding rational nuanced conversations.
Don't give in to the theatrics. Don't get suckered into trying to counter one extremist argument with the other. Empower those of us who are rational by marginalizing extremist and hyperbolic participants.
People still don't fully grasp the science of this, the time scale, the dire implications - or how dirty we've been done by energy companies AND THE MEDIA over it.