I'd be 100% on board with you if you were able to show me a single - just a single - regular website user who'd care about energy usage of a first(!) site load.
I'm honestly just really annoyed about this "society and environment"-spin on advise that would have an otherwise niche, but perfectly valid reason behind it (TFA: slow satellite network on the high seas).
This might sound harsh and I don't mean it personally, but making your website smaller and "being vocal about it" (whatever you mean by that) doesn't make an iota of difference. It also only works if your site is basically just text. If your website uses other resources (images, videos, 3D models, audio, etc.), the impact of first load is just noise anyway.
You can have a bigger impact by telling 100,000 people to drive an hour less each month and if just 1% of your hypothetical audience actually does that, you'd achieve orders of magnitude more in terms of environmental and societal impact.