In brief
A slight counter-intervention is different from a constant centering.
Useful to know
The Bosch lane keeping assist monitors the position relative to the marking and intervenes when approaching below a certain limit. In electrical steering, this can be done by a noticeable but soft corrective steering input. [1]
The source also describes a variant by braking individual wheels. Therefore, the common name does not define a single mechanism for each car. For a specific vehicle, check the conditions, signals and how the driver cancels the intervention. Do not expect the behavior of constant centering just because the list of extras includes "maintaining in the tape".
Sources
For further detail and to check the information: