I have no idea what Chief Clifford is referring to. I don't see arrogance to anywhere near the degree he described at all.
I actually like the scene with Kate Hudson in Prescription Murder. Miss Hudson is young, naive, and is being used by Dr. Fleming, but she also participated in a murder, and is covering for it. I think Columbo's outburst is justified and is an attempt to break the spell Dr. Fleming has over her; an attempt to appeal to her conscience, and the line "that woman would be alive if it weren't for you" is true, so I would say it's very justified. It's also a piece of superb acting which is enjoyable to watch!