There were three guys with sticks. China couldn't project power far but Soviet-Sino relations were strained and the risk of war was high because they share borders.
I'd love for there to be a world with no sticks period but humanity is a long way from that. Europe becoming the forth guy with a stick could force everyone else, and especially Russia, to be more cautious. And if it comes to blows, the EU/UK are gonna want to have that stick.
If you're EU/UK and multiple parties are around you with big sticks, would you rather be defenseless or have a stick?
Hopefully we reach a war-free era in the not so distant future and humanity prospers.