Are endorphins addictive?
Addiction specialists and others who study human behavior often catageorize addiction into the two broad categories of physical dependence and psycological dependence. They are not always mutually exclusive, and they can both manifest in serious or mild cases of addiction depending on the person and a number of other factors. 

What differentiates them is how they affect your physiology. A person severly addicted to alcohol or opioids can become extremely ill or even die from the withdrawl of those substances, due to the strong physical dependence their body has developed. To my knowledge, people do not experience a physical withdrawl after cessation of compulsive pain seeking behaviors. Since they didn't cite any source, we can only guess as to the intended meaning of your second source, but it's probably related to this lack of withdrawl. A quick search on PubMed shows publications referring to certain endorphins as mediating this type of addiction. Meaning that the endorphin is not addictive per se, but a compulsive or addictive behavior can be communicated to the brain in terms of a native neurochemical pathway which is otherwise a normal part of a healthy brain. 

I think the lesson here is to be somewhat skeptical of online sources that don't link to peer-reviewed science. Attempts to simplify a topic for the purposes of communicating with a lay audience often result in more confusion than clarity. And if you search something on PubMed or google scholar, you'll probably find an answer in the same amount of time it took you to post your question here.