Based on my experience with the general public, with academics, and with industry folks, the criteria for what constitutes a sincere apology is not known by the majority. Furthermore, many of those who have heard the criteria do not accept it as a gold standard, and disagree with it (even those who are not being looked to for an apology).
The recipient can always choose to accept or not an apology. However, I find it quite distasteful to attribute intentions to someone simply because they did not follow a recipe (even if the choice not to was intentional).
While it's common in colloquial German to use the one-step-absolution and skip over the possibility of the other party not absolving you, it's also often considered rude when it matters and has a taste of "but not really". It's fine when you accidentally stepped on someone's foot, but not so much when you've stolen their car.