"No good reason" is subjective. Was there any reason given? Looked at the article, but didn't see any. Perhaps it was cost? Does the Pentagon budget break out the cost of Stars & Stripes?
The answer to this question is in the eighth paragraph of the article, right before the discussion on how congress actually refunded the publication, the decision now resting with the senate and how the Pentagon ordered it to shutdown anyway which is unusual.
I will hasard that when you said you looked at the article it was to be taken literally and didn't imply that you actually read it.