However, after I did this, the case that I had didn't match up to any of the ZBLL cases. Did I do something wrong?
As long as all four edges were oriented, it was definitely a ZBLL case. However, that doesn't mean all the colors had to match up with one of the pictures. Just like the same U-perm (PLL, edge 3-cycle) can look 4 different ways depending on which edge is already solved, so can each ZBLL case look different as well. It is color
patterns that remain consistent, not the specific colors themselves.
As to your main question, feel free to do whatever you want, but I would not recommend learning ZB as a beginner. You could have no idea right now, but it can get astoundingly difficult to recall algorithms from a set of 400 cases, even after the year or more it takes you to finish memorizing the algs to begin with. To start learning ZB would be to accept that you must put an
insane amount of time into the cube before getting fast enough at ZB recognition to make it possibly worth it over OLL/PLL, which is so much easier to recall because of the significantly lower number of cases.
But of course, it's you, not me, so feel free to do what you want. If you feel like learning ZB for the hell of it, go right ahead, but first make sure you message one of the experienced cubers here so you can learn how the ZBLL recognition works.
So, F2L is best without algorithms?
This is an argument people have all the time. I'll just say this: there is absolutely nothing wrong with having a set of algs sitting in front of you while you are learning, because it makes sure you aren't wasting way too many moves. But don't just memorize them in the way you would an LL algorithm, make sure you study it and really understand how the algorithm is working. This way you can gain an intuitive understanding of F2L, and be able to effectively perform these "algs" from other angles during solves, and even begin to create your own tricks.
EDIT:
myself said:
However, that doesn't mean all the colors had to match up with one of the pictures. Just like the same U-perm (PLL, edge 3-cycle) can look 4 different ways depending on which edge is already solved, so can each ZBLL case look different as well. It is color patterns that remain consistent, not the specific colors themselves.
Just in case this quick explanation wasn't clear, think about it this way: You have a last layer algorithm. You start with a solved cube with yellow on top and blue on front. You perform the LL algorithm, and the cube looks a certain way. Then you take a solved cube with yellow on top, but
red in front. You perform the same LL algorithm. The cube will look different than it did before, in terms of which specific colors are where, but all
patterns are still the same, because it was the same algorithm. This is why your case may not have matched up exactly with any of the pictures.