France wonted their land back,prussians wonted more land,as usual,Russia feared that A-H would create Ukraine and destroy them.And England wonted war which bleed all powers on continent.
Only A-H knew,that war mean their demise - but they feared,that showing weakness mean the same.So,they prefer war to that.
Few people in Britain, if any, wanted war as it was simply bad for business. As well as the human costs. I think your falling for the old fable that Britain deliberately moved to keep Europe divided.