I mentioned China due to due to the GP comparing America and China. Sure, China might not replace America’s position in the world, but I sincerely doubt that most people that fall under China’s hegemony will appreciate the change. This is also true for other powers such as Russia. I do think the EU would be better hegemonical stewards than America, though.
I’d recommend fostering a dog first if you go that route. You can find out what works for you with no long term commitment. If it ends up working out well, you can often adopt the dog you’re fostering anyways.