First of all, welcome to the forum lahill01.
Regarding your question:
To me, neither statements are a complete answer to the question on what you need to know to get to advanced origami.
There is not an extensive list of types of folds, at least to me, nor does the types of folds always increase as the project becomes more complex.
This is often model specific.
I've seen really complex looking models, using only the simplest combinations of folds, but also quite simple looking models using quite tricky combinations of folds.
In it's simplest form, origami only consists of two basic folds: the valley and the mountain fold.
Every other type of fold comes from a combination of these two folds. Common combinations have been given their own name. To name a few:
- Inside reverse fold.
- Outside reverse fold.
- Hybrid reverse fold.
- Rabbit ear fold.
- Double rabbit ear fold.
- Squash fold.
- Swivel fold.
- Petal fold.
- Pleat fold.
- Crimp fold.
- Open sink fold.
- Closed sink fold.
- Spread sink fold.
- Unsink fold.
If you know at least some of these you can already do a lot. A lot of models combine a subset of these type of folds.
So if you want to get to the advanced origami, I have some suggestions, if you want them:
- One of the most important ones: Fold!
- Fold models that appeal to you.
- Learn to read/fold from diagrams. Even with today's youtube how to fold a model videos, diagrams are still an important way to share and fold models.
- Learn to identify combinations of folds. This will make reading diagrams easier if you already know that combination. This will usually grow naturally if you just fold.
- Take your time. Some people get better quicker than others. Which brings me to the most important point:
- Have fun!