Not necessarily anything until it gets to an extreme, but it's not self-compassion and that's the point of the article (or a chunk of it, most of the article is about what self-compassion actually is but doesn't spend too much time contrasting it with other things). Many people conflate the two concepts and self-indulgence (being generally egocentric) is often considered "bad". If the two ideas get mixed together then this leads to a rejection of self-compassion as well.
There is no wrong in a simple indulginces. I have completed big project in recent week past and went for purchase my self ice-cream-cone. This indulgence, not necesity. There is however existing today in West large cultures of "poor me"/of pitying self. One is never failing, simply try ones best. The pendulem has swung to far in the oposite direction from fifty years in past time.