The fault lies with the Bitcoin users. As the OP has rightly pointed out, only 0.117% of the global energy use is devoted to Bitcoin mining. The arguments put forward by the critics don't have any face value, and they themselves know that. But at the same time, Bitcoin users have fallen in to the trap that the critics have set for us. Rather than pointing out that our energy usage is minimal, everyone here has been busy finding excuses such as "green energy" proportion in mining is increasing. Satoshi won't be happy with this. He designed Bitcoin as a decentralized currency, that can't be manipulated. And here we are getting manipulated by those people who hate BTC.
To be honest I am certain neither argument would have calmed the anti-bitcoin party down. Whether you claim the energy is green or whether you claim it is not a lot, it doesn't fit the agenda of those against Bitcoin either way. Also, belittling an overall usage of 0.117% could be a dangerous strategy. If today you say that's not much and then it doubles within a year because Bitcoin prices go up and mining power goes up, the message in the media would be that electricity usage increased by a 100%. No matter what you say, they'll put it the way they want anyway.
It has long been stupid to believe the media. They say only what is beneficial to the state. They want to cover up mining, because they understand how much this will affect the course and stability of Bitcoin. Of course, they do not want people to use it, when they find a way by which they can control our actions even more, they will do everything to convince us of the "usefulness" of Bitcoin.