I don't see any evidence of this.
The article did point out that only 5% of the arrests were organized criminals, but I would expect the organized ones to do more than their fair share of total thefts. I'd also expect them to get arrested less often than their amateur counterparts.
But more importantly, your proposal assumes that eliminating poverty would eliminate crime. That makes intuitive sense, but I don't think it's true. I've heard that many of the package thieves in my neighborhood are middle class people who just steal opportunistically.