No ... ! No country benefits from Warring ... Its the Arms Manufactures and Traders ... the Politicians and Multinationals ... Drug and Food cartels ... basically Criminals ... who 'benefit' from every kind of Warring among common people; where ever, when ever.
"Wars" are made to happen, in the world, by these Criminals !
What a complex question. I think clearly countries benefit from wars in other countries. If it is only economically (can I say "only"?), then that is a benefit. One war in one country may elevate the standing of another country. If the warring country appears to be violating human rights, the championed country who is not violating can rise in public opinion. But the first question was "do countries benefit" and the followup was "do they want wars in other countries?" Countries definitely benefit, and assuredly the hawks want war. Hmmm.