TI,
There is only what is and the spiritual experience is universal regardless of tradition. Some acknowledge different things as signifigant or "it" but they are generally along the same line of experience.
Yes, in Taoism, Kundalini has been referred to as the Valley Spirit and by some as Tao itself (so have other things, depends on who you talk to

). I have found the Hindu tradition to have broken this down into a comprehensive explanation that makes sense to me. Remember though that part of any comprehensive system is the acknowledgement of that aspect that is not knowable and beyond knowing.
There are so many different terms that may overlap in meaning that make it more challenging to say this = that. For example, some people are referring to Kundalini Yoga, which is a practice in itself, aimed at the same thing all other traditions are seeking. But Kundalini Yoga is not Kundalini. Some see Kundalini as the generative force alone. This is a using the term in a way that is not generally accepted as what is being pointed at, however, it is more common than not - ig, Kun Lun uses the term that way.
Inner Alchemy is a practice that prepares ones body and energy channels to be able to as safely as possible handle Kundalini when it awakens. It also opens up inner space so that you can more fully integrate this into your consciousness (sometimes referred to as enlightenment when it is permanently ingrained / consious to the us as indivuals). This does not mean that the process is over though.
Kan and Li is a practice used in taoist inner alchemy after other fundamentals have been practiced and experienced in the way the process goes.
Chi or prana is generally characterised by being non intellegent and directable. Kundalini energy on the other hand IS intelligent and although may be sometimes be influenced by us, it is most readily accepted that it must be surrendered to as it is the true "doer" of all things. This is the divine Mother, yet, it also is not possible without the divine Father aspect that is referred to as the unknowable aspect. One can not exist without the other so really they are also one and the same. These are at a deep inner level of being yet always everywhere and everything.
There are also variations in types of Chi moving on a scale from closer to manifestation / physical to the unmanifested "uncarved block".
I would not recommend you try to practice anything out of the book you are buying without a teacher or that you find a book or system (if that is your goal) that is accessible and designed for the purpose of practice. Yes, it can be done without a human inperson teacher, but Kundalini is not something to pursue haphazardly as it is the most powerful thing there is.
That is my take on your questions.
Best,
Matt