The EU's "independent" foreign policy is what led them to ignore US advice and rely on Russia gas. They could have still been independent and made a different, better decision but blaming the US is farcical.
They could have not consented to the eastwards NATO expansion in the first place, that does not serve anything in having peace in europe. But LNG from the US is a quite lucrative business, plus having a weaker and less competitive european economy. Their incompetence and inability to make any trace of proper foreign policy that is not just summarised just being dragged behind the US foreign policy is a major factor that fuels the far right rise last years.