The tradeoff on film vs. paper is cost (paper is cheaper per frame, MUCH cheaper than large format film) vs. exposure time (film will need much less exposure than enlarging paper) vs. processing convenience (paper develops in open trays under safelight, film develops -- usually -- in tanks and must be handled in total darkness unless in a light-tight container or developing tank).
Most beginners in photography and pinhole are well advised to start with paper. Exposure time in daylight will still be minutes rather than hours (vs. seconds for film in most cases), but the ease of handling and cost difference more than make up for taking a little longer.
That said, I've never done pinhole in paper -- mostly because almost all of my pinhole experience has been either with converted film cameras or with homemade pinhole cameras too small to work well with paper (Altoids or Altoids Gum tins, for instance), or Polaroid/Instax cameras that had their proprietary films.