Barring biases for the outlet itself for a moment, Vox did a pretty good video on this issue within the context of electricity consumption.
https://www.vox.com/2020/9/10/21430916/2020-presidential-ele...
Even policy makers struggle with this. It's very hard to make a comprehensive, understandable model that connects all the dots across the board. So, that's what this piece is about.
And here's the actual graph from the video:
http://energyliteracy.com/
The argument presented here isn't to reduce consumption - although, in absolute terms, that directly impacts carbon emissions - but to strategically replace fossil fuel sources for clean energy (solar, wind, water,...). It's an interesting perspective because it avoids turning the discussion about "consumption reduction" into a debate about token use cases such as "millions of web pages need to consume less energy."
To put it more succinctly, it's more interesting to consider the origin of the electricity coming out of the socket in a datacenter or housing then how it gets used by hardware plugged into those sockets.
I'll give you a for instance. Suppose you have to pick a host for your personal website and you're mindful about energy consumption. So, you're considering Digital Ocean: What type of energy is powering their datacenters? Turns out they don't really communicate about that, but intrepid users have figured it out (data februari 2020):
https://www.digitalocean.com/community/questions/what-kind-o...
So, if you choose NYC1 as your region when you pick a droplet, that's assumed to be powered by 100% wind energy.
Same with people who visit your website. Suppose, in some utopian way, 100% of your visitors have solar, batteries and are off the grid, then their daily visits to your website will have a reduced impact as well. Why reduced and not net-zero? Because the intermediate network infrastructure between NYC1 and, say, a visitor living in California, needs to be powered as well and there's no guarantee traffic won't be handled by fossil fuel powered network nodes at this point in time.