That suggests, after the prompt damage, the "exposure" of tissues that are normally protected by an outer coating, continues just from normally ingested material.
The article mentions the possibility poison control will recommend drinking milk. Which may have something to do with neutralizing digestive enzymes than with taming the bleach. If bleach breaks through the mucosa, the normal stomach digestive mechanism, may start to digest the lining.
And there is an entire book about vomiting. I glanced through the book while staying at a doctors chalet at a ski hill. The doctors pooled their money and bought a chalet near a ski hill, and they take turns using it during ski season. I was stuck at the chalet the first day, with no ski equipment (we stayed at a motel, the chalet was just "base camp"). It was one of my weirder ski trips.
Since there is an entire book about the vomiting response, you can be assured it's a complicated process. It's not just "jack-in-a-box". The body does not like to waste food nutrient unnecessarily, which is why the firing mechanism has constituent parts. The body knows for example, that vomiting needs fluids to work, and it provides them. it has to prime the cannon, before it can fire the cannon. And the muscular contractions have to be coordinated for it to work. It requires timing. Think of the automation.
Paul