No, I strongly disagree. If elected representatives cannot agree on what is proper policy and pass it as law, I for one do not want some nameless bureaucrats be the ones calling the shots. Unelected bureaucrats creating policy as they wish, unconstrained by what the law actually says, is what actually is undemocratic.
Look, even as there might be general agreement among the people to fight climate change, there might be little to no agreement among the people as to how to actually proceed doing that. Because of this, you cannot say that blocking EPA here is undemocratic, because “ majority of the US population wants regulations to fight climate change”: it is very much untrue that majority of people want the exact policy that EPA tries to introduce, and have it be executed by EPA. It’s like saying that majority of US population want regulations to improve their commute times, so SCOTUS cannot block DoT from eminent-domaining land through cities and building 10 lane highways on it. Some people want that, sure, but others want more trains or zoning regulations to improve walkability, and there is no majority agreement here on the details of the policy. You certainly don’t want unelected bureaucrats with no accountability to voters be deciding major issues like that.