I think I agree with the idea but isn't saying sugar is addictive because you feel bad with out it is like saying protein is bad because you feel bad with out. It's somewhat necessary
Addiction is often defined [in scientific literature] as having two core elements: Reward and reinforcement (i.e. likelihood to seek repeated exposure).
Addiction in general is a sliding scale. With anything offering both reward and reinforcement being a potential candidate for addiction.
We need protein nutritionally but both the reward and reinforcement are lower than sugar. So if you wish to call protein addictive, you may be able to, but I'd still suggest it is further along the sliding scale towards the "less addictive" side.
Plus if we measure addiction purely by its negative impact on society, sugar addiction claims thousands of lives every year. I don't know how many (if any) lives are claimed by protein addiction.
It's really changed my perspective of sugar.