Beforehand: This is not a detailed tutorial for fingerloop braiding or Kumihimo. You can find a lot of them for free in the internet. I will write about the pros and cons of each technique.
I use lacing as a closure for my clothes quite often. And there are only rather modern versions in the shops. Additionally they don’t have such great quality. And then I found not only very beautiful late medieval clothing patterns, but also a lot of handcrafts descriped in Medieval Garments Reconstructed: Norse Clothing Patterns. One of them was fingerloop braiding.
Usually my limit is at normal braiding with three cords, but fingerloop braiding helps a lot in that respect, since the cords are always sorted on my fingers. And then there is the small, but significant difference that you get a braid with a round cross section with fingerloop braiding. While you get flat braids with normal braiding. I like the round braids better for lacing.
While researching braiding techniques I stumbled upon Kumihimo. Kumihimo is a Japanese braiding technique that works with a similar principle as fingerloop braiding. But they are using a Marudai (similar to a braiding star) which allows for much more elaborate techniques and patterns.