I've had a bit of experience with both and I would agree with what has been said so far here. Experientially I do find they have different effects on the body and the mind. Tibetan yoga produces a very clear and awake state of mind which facilitates visualization and recognition of emptiness/nature of mind quite well. Daoist practices at least at the early stages I am at, creates a notably different state of mind which is perhaps more relaxed and grounded in the body. Both states produce both clarity and relaxation but have a different emphasis and feel.
It seems to me Tibetan yoga works mainly by changing the subtle body and mind straight away, and the physical body falls in line with that, where as Daoist practices start by changing the body as well as the mind, with the focus becoming more subtle later on (I haven't practiced these stages). There are different qualities of the mind used for Neigong vs. Tibetan yoga which apply to their particular systems. Damo Mitchell has said that Neigong conflicts with Tibetan yoga as the subtle body is built in a different way.
That being said, although I am primarily a Vajrayana practitioner, I have shifted my physical focus to Neigong as I'm finding it very helpful in undoing the damage that's been done to my body by chronic disease, stress, etc. in a way that Tibetan yoga didn't seem to address. I'm finding that Tibetan practices overall can be very stimulating, and doing Neigong work focused on sinking the Qi and building the principles into the body is extremely helpful for overstimulated modern people. Tibetans classically did not have the same widespread issues with overstimulation and deficiency that modern people usually do, although it may be possible to address these issues with Tibetan yoga if instructed properly. However I've found for me personally, yoga with strong intention is not as helpful as Daoist practices using a more Wu Wei approach, at this phase in my development.