Since when did the police in a NFS game care about peaceful endings, lol? Except for when they break off from you at the end of a chase in HP2...which I find to be a bit ridiculous. "21 to 9, you want another missile to launch before we slam the guy into the guardrail up ahead and lay down the spike strip?" "9 to 21, negative on that; disengage the pursuit now, this is getting out of hand, he could kill somebody." "21 to 9, copy that. Cancel the missile launch Rotor 1, and hold off on the nuke as well..."
I didn't notice much rubber-banding in HP2...actually I was able to build up minute-long leads on my opponents sometimes, lol. Rubber-banding is way, way more evident in NFS3 and Most Wanted though (and Carbon, but who cares about that game...).