The original article is self-reported income, which i agree is crap and proof that it can be interpreted any way one wants, as is show in this thread: this is clearly PR damage-control from uber.
The one you linked is the other end of the spectrum. It is a math formula on values provided by uber and completely ignores the associated costs with the profession. It does not account for down time, it does not account for insurance, car depreciation etc. The $13 is just more meaningless data because all it measured in the paper is "income from uber, taking into account avg on-meter time with pool+surge pricing variations". (they do include the costs, but as "The primary costs drivers face are fuel, maintenance, depreciation, and fines for parking or moving violations. Zoepf et al. (2017) estimate median driver’s expenses are 32 cents per mile." which is very far from actual data)
IMHO both are utter garbage.