That's quite a leap. I always presumed that she was in a state of remorse and repentance for her sins, she was certainly humbling herself greatly, I'm not sure what other demonstration of that you would require.
Jesus demonstrated that being in state of remorse, humility, and repentance was enough for her to be forgiven and that she did not have to offer an animal sacrifice at the Temple for that to happen. There is also the matter of breaching Jewish social norms. The entire episode served to show the Disciples that this woman, whatever her sins, was a new person after forgiveness, and to be treated as such. This was quite different from current practice.
“I’m not sure what other demonstration of that you would require.”
An actual request for forgiveness. That is what you asserted was necessary, and that is what is missing from the example I provided.
“Jesus demonstrated that being in state of remorse, humility, and repentance was enough for her to be forgiven and that she did not have to offer an animal sacrifice at the Temple for that to happen.”
So if that is all that is required, then she did not have to ask for forgiveness, and you have disproved your own argument.