You went from "no doctor" to "not common".
It is in the UK in many cases. The reason might be 1) need a higher dose than allowed to sell OTC, 2) get it without paying, especially for elderly, but this practice is frown upon, 3) simply to streamline pharmaceutical care and include all needed medicines on one prescription, again, this is more common for elderly on several medicines.
We are not talking about ibuprofen here because that's actually bad for stomach and heart. Most common in the UK would be paracetamol. But many other OTC medicines are being routinely prescribed (painkillers like codeine). I was prescribed ear drops that the pharmacist advised me to buy OTC because that would be cheaper than pay the prescription fee.
I guess that for many patients going to the doctor and getting a prescription for something is part of their expectations that they would not be happy to return without anything.
But of course, the practice among countries may be very different that we cannot talk about one single culture. I think of author's article more like an allegory.