After the beginner method should come a better F2L method, rather than learning a "wall of algorithms". Keyhole and Fridrich are similar enough to the beginner's method to adapt, but Petrus or any other block building method might scare one off.
You can become fast with purely an improved F2L, no need to learn a bunch of algorithms until it's time you want to take some effort to shave seconds off your time.
The internet is so easily accessible anyway, you can learn any method you want, and guides are at the tips of your fingers. One shouldn't need to ask which method is better, they can just do some quick research.