It isn't a lie. It may not be true, but ding has posted some interviews with
Alexander Vilenkin in which he describes the idea of the universe being generated from nothing. For example (although I don't know that ding linked to these specific things):
Alexander Vilenkin and the Universe From Nothing
https://mm-gold.azureedge.net/science/physics/a_vilinkin/universe_from_nothing.pdf
Interisting that your first link is to a Christian Philosophy of Theology site.
Which Vilenkin said jokingly which Ding chose to take seriously, and seeming has taken you in also. Did you know that in many of Vilenkin's writings he puts the "nothing" in quotes?
Vilenkin's "nothing" is equal amounts of gravitational energy and matter. For there to actually be "nothing" gravity and matter would have to CANCEL each other out. But Vilenkin and Ding also, but unwittingly, say gravity and mater are in BALANCE, so they are both NOT nothing before and after inflation.
“The way the universe gets around that problem is that gravitational energy is negative,” Vilenkin says. That’s a consequence of the fact, mathematically proven, that the energy of a closed universe is zero:
The energy of matter is positive, the energy of gravitation is negative, and they always add up to zero. “Therefore, creating a closed universe out of nothing does not violate any conservation laws.”
It's a bit like an old-fashioned measuring scale. You can put a heavy weight on one side, so long as it is balanced by an equal weight on the other. In the case of the universe, the matter goes on one side of the scale, and has to be balanced by gravity.
Physicists have calculated that in a flat universe the energy of matter is exactly balanced by the energy of the gravity the mass creates. But this is only true in a flat universe. If the universe had been curved, the two sums would not cancel out.