Trapping in TCMA is so important. It just means to make contact with one or more limb for a split second to hold them up and allow for the next technique to reach its target. Almost all of the techniques that I use can and usually do involve trapping. Trapping doesn't always require contact and can be used both offensively and defensively. They are usually cyclic or back-and-forth motions that either distract the opponent or inhibit their movement so as to land the next technique. Flowing from one to the other makes it very difficult for your opponent to predict and defend against them.
Think of them is a combination, much like the jab-straight-jab or jab-straight-hook, except that if they make contact they momentarily limit your opponents range of motion. If done properly (which requires many months, years of foundation training), these will also destroy their balance upon contact. Whether to execute a strike, throw or Qinna technique after trapping is up to you. Note that I am referring more to the trapping in arts like XYQ, BGZ, TJQ, Tanglangquan etc. and less so to Yongchunquan (Wing Chun) orother southern arts, with which I have less experience.
The rest of my hand techniques are more like Tongbeiquan or Piguaquan, devastating whips and swings (for lack of a better word), usually aided by gravity and/or full-body power, especially from the waist. All TCMA have these to one extent or another.
Arts like Changquan (from what I have seen) look more like Karate or Sanda when in use, as most of their training is exaggerated low stances meant to improve the foundation, but even then we still see a lot of the whipping and swinging-type moves.
It is the focus on these techniques (because boxing has some trapping as well) and more that separate TCMA from kickboxing and what sets them worlds apart and therefore quite distinguishable from each other. That is simply not what any reasonably knowledgeable person can see in the videos above.