the entire cosmic web gets produced in the blink of an eye.

I don't know what you mean by this.

What I mean is that there seems to be larger scale structure, a giant web of filaments and walls and voids, and that its becoming apparent, this basically existed in tact as far as the eye can see.

How'd it get there? Inflation. Which makes the blink of an eye look like eternity.

Basically inflation, dark energy, and the multiverse can arbitrarily accomplish anything at this point. That was the point of the Inflation Debate article. It doesn't ltierally predict anything in particular. We just observe things and try to make models that fit, and say "the multiverse, crazy, huh?"