For the most part, Suspension Training is one of the most effective yet simple forms of bodyweight exercise around. Some advantages include the portable and versatility but there are lesser known advantages that people may not be aware of or even realize.
For starters, it offers a wider base than typical bodyweight training because of the greater resistance you can apply. It fills in gaps that give a boost or even a harder outlook to regular Push-Ups & Pull-Ups. They can be used in a variety of ways such as: Those who are starting out and want to lay a foundation, work around injuries and give even a seasoned veteran of Physical Culture a run for their money. If you're limited in your Range Of Motion, this style of training can also bring a flexible entity into how you can build yourself up despite that other side of the coin. You can virtually create any workout you want within your capabilities.
As you're aware, the most basic rule of effective Strength Training is to utilize the format of Pushing, Pulling & Squatting. With Suspension Work, it can build a bigger branch of accessory training such as working curls for hitting the biceps or working on hip abductions. This is most likely a greater option to not only save money on gym memberships but even more cost effective on fancy equipment. It works like a gym that fits right in your backpack.
It also creates greater freedom to train practically anywhere from your home to the park, in your hotel room, at the office or wherever on your own terms. If you're traveling, you can get in something quick like waiting for your flight, stretching your legs from a long car ride or getting the most out of it after a long day at work. Being able to move more freely is just the cherry on top of a kick ass sundae.
Because of the wide variety of exercises, some sources will list either very few or dozens upon dozens of exercises. Some of the things listed can seem overly repetitive (like many of Ric Flair's matches) because they really are more of a variation of one thing or another. In reality, you would only need a few exercises at a time to get the most benefit, you can do all of the exercises until the cows come home but are you really benefiting from them? Once you learn only a few for each muscle group or Chain of Muscles, you'll have a broader base for what to work with to truly enhance your physical training. Modify if needed and focus on the goals you set for yourself.
Go kill it and keep being amazingly awesome.