The paper from a paper pepper packet tastes as peppery as the pepper it contains, which is to say, not very. I know this because the secondary hazard of the paper pepper packet (the first is the “pepper”) is the likelihood that a piece of paper will fall into your soup. Paper pepper packets lack mass or integrity.
Nowadays, you only really get paper pepper packets in Pret or at the hospital – both are equally depressing. Pret is perhaps more depressing, as you probably paid for the miserable soup you’re pointlessly trying to salvage with a paper packet of pepper.