Sorry, no. The singularity version of the Big Bang was falsifiable, clearly, as it has been falsified.
No, it hasn't been falsified. It is not a case of inflation or singularity - they are in entirely different categories of concept. Guth obviously has his place in the annals of cosmology, and inflation is a leading contender for solving a number of the issues with the Big bang model, but the language he uses in your link is awful: both misleading and innacurate. I would look elsewhere for details on modern cosmology; Guth seems to have lost perspective.
For example,
Inflation requires no matter singularity, and indeed such a singularity was the biggest flaw in the BB theory before Guth, as nothing comes out of a black hole.
is non-sequiturial nonsense