What I think your calculations miss is two things: 1) producing a fridge is harmful to the climate not just because it takes ressources to produce and ship and maintain, but because it uses limited ressources and pollutes after it is thrown away [1] and prices doesnt currently reflect the real cost on the environment. And 2) Technology is worth very little if politics and infrastructure doesnt support it. We could avoid a large part of the pollution of fridges if we recycle, but we need recycling plants, a government that mandates it, a culture of recycling, not to mention we need to share technology across borders.
My argument is not that its physically impossible, but that it isnt realistic in any way to imagine we could scale our way of living to the entire world with our current political, tehcnological and cultural infrastructure. Right beside everything you describe, there is an on-going climate-crisis of extreme proportions going on. The way we live in the west is built historically on fossil-fuels and direct exploitation of other parts of the world, and it has led us to the brink of ecological ruin. Even if technology might be able to ensure that the rest of the world wont need to rely on fossil fuels in the same way we've done historically and still do, there is not the political will or the infrastructrure to do so. There will be, maybe, in 10 years - we'll see.
So yes, my standard of living rests explicitly on poorer countries not living like me. Because we dont have the technology or infrastructure in place to support such a massive increase in living standard without it impacting the climate. It doesnt matter if we have the technology in ten years if its impossible to implement at scale.
[1] The cooling industry play a huge part in glomal warming: "Part of the problem with refrigerants, however, is that much of the harm they cause is after we as consumers have finished using them. It occurs out of sight, and so largely out of mind." https://www.bbc.com/future/article/20201204-climate-change-h...