I've seen things similar to this both in video and in books. Basically, because they have less outlandish premises to begin with (usually, not always), Eastern religious beliefs are easier to parade around as "in conjunction with science."
My thought on the matter is twofold.
One, given the context and time period that many texts were written in, it becomes a stretch to see them as "science" at all. They are religious works that we look at with a current eye, and some simply have more flaws than others. Take enough religions and some will be in accord with science. The relative "rightness" of some doesn't make them more scientific, however. For example, science leads us to a (provisional) belief in a deterministic universe. So, for example, should that elevate something like Buddhist natural law teachings ahead of free will-based teachings? Perhaps, but in this case, and many others, it's a coin flip scenario. One side had to be right.
Second, a popular way to interpret Eastern thought is through quantum physics, or modern cosmology. At worst, this is used to attempt to validate paranormal beliefs. For most, this is a matter of limited knowledge that is far from adequate. Quantum physics, as with eastern thought, is esoteric and seems inherently philosophical. Therefore, they MUST be in accord, right? Well, not really. Usually this is due to either shoddy interpretation of science (Einstein, Heisenberg, Planck, etc....take your pick) or loose interpretation of vague scriptural passages. And the leap from one realm to the other is so huge that it defies description, but many are willing to overlook such concerns for the sake of a pleasing analogy that seems to unify the two schools.
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As for the videos, the first two are largely just an affirmation of the culture and knowledge of the people who wrote and believed in the Vedas. The achievements of the Vedic culture are impressive but were matched in many cases by the ancient Greeks and Egyptians. They don't validate the beliefs, but merely speak to the culture's knowledge. Civilization possessed considerable knowledge even in its earlier stages. It is impressive, just like Asia's culture during the comparatively backward European Middle Ages, but neither one is particularly surprising. And this, in and of itself, does nothing to validate the beliefs themselves.
It also enjoys talking about English perversion of Vedic knowledge, and/or validation of them from English intellectuals. Again, fascinating as historical information, but it doesn't really deal with religious belief.
So they're a decent, though heavily biased, view of Vedic history. Only a few times to they stray from proven historical data into the purely speculative (possible atomic bombs in the 3rd millenia BC, for example).