In part, NATO intervened in Bosnia so that there'd be no failure to check Serb agression on Clinton's part that the Republicans could lord over him during the election. Public perception of an intervention supporting a regime openly proclaiming itself to be fighting a Jihad to islamise the whole land or one that claims to be the successor to the WW2 Independent State of Croatia would be very different.
Another option is for the West to see the Serbs as the ones to back early on. Maybe as a way to save a unified Yugoslavia with minimal clashes on the ground.