I think "the big bang" has a problem of changing meaning. Here's my understanding:
- Naïve extrapolation of GR backwards in time results in a singularity at a finite point in time. Call that the big bang singularity (at t = 0)
- Using current accepted theory, we're able to simulate what was going on at t > 10^-32 or so. Before this, the implied densities and temperature are beyond what our theories can handle and we're less confident about how we got to that point (with an excess of baryons, smooth distribution of energy and matter, and the other parameters that obtain in our current universe).
- Inflation is one of the favored explanations for what happened before, but it doesn't address its own cause ("what happened before inflation?"). There's a theory of "eternal inflation" (local regions that have stopped inflating surrounded by regions that are still inflating), which explains the fine-tuning problem (each region that has stopped inflating can have its own fine structure etc). This is less accepted, maybe this is what you're thinking of?
- There's a push to redefine "the big bang" as all the stuff we can explain with current physics, i.e. as starting after inflation (but still using t=0 at the big bang singularity everyone's pretty sure doesn't actually exist). Or maybe it's been like that for a while and it's just pop science that perpetuates the big bang = singularity idea. Like how relativistic mass has fallen out of favor as a concept.