Further, any hit it might want to take at the other powers would be either not cost effective (against Russia) or would harm them very badly in short and medium

Further, any hit it might want to take at the other powers would be either not cost effective (against Russia) or would harm them very badly in short and medium term (China or moves regarding Taiwan.) Moving against EU would not get them anything and the same bit as regarding China applies. Truth is, war is an expense. You need to count on a serious long term benefit to wage it.