Wide beamwidth equals small antenna. Narrow beamwidth equals large antenna.
PIFA and Printed Dipole and Notch are nearly related. PIFA is a notch with a very thin layer/line of metal on the top and ground plane on the bottom, similar could be said about a dipole too without a bottom groundplane. Dipole has a 73 degree beamwidth by the way, you can bend it and make it look like an arrow to widen the beamwidth. Notch is easier to design and build though due to it's very wide bandwidth (2:1) or 100% bandwidth (as opposed to 7%).
The notch slot depth sets the beamwidth.
You can change the beam from pointing backwards with 1/3 Lambda slot depth to being a narrow beam in the forward direction with the slot width large and tapering widely. Cross the probe 1/4 wavelength from the slot short circuit in the back.
Set the slot length at around 1/2 wavelength or sligthly less and your beamwidth will be very wide. With copper tape extending the slot opening off the end of the ground plane, you can shape the beamwidth to as narrow as you'd like. That's a nice feature in this antenna.
With really wide beam antennas, energy bounced off everything and your patterns get bumpy. 120 degree beamwidth antennas are much more difficult than a 20 degree or 50 degree beamwidth antenna to get a good smooth pretty antenna pattern shape (due simply to antenna energy scattering everywhere, then energy reradiates off scatterers).