Problem with this statement is that it looks at NATO involvement in Ukraine as a single action vacuum. You're also neglecting that Russia-backed Viktor Vanukovic was also elected under shady pretexts in 2004. A recount of votes, after fraud allegations, led to appointment of westernized Yuschchenko that same year.
In 2013, the Russia-backed Yuschchenko, who then after "won" the 2010 election, announced he would suspend trade and association talks with the EU, leading to widespread protests in Ukraine. Protests soon led to the expulsion of Yuschschenko from office in 2014 in an act by Ukrainian parliament. Yes, the EU and US were in favor of that action.
Simply saying it was a US-backed coup is ignoring the various interests, particularly in Europe, and the authentic desire of much of Ukraine to not be beholden to Russia.