Yes and no, IMO.
At the moment, and conditions may change, the “pretty picture” brigade have a readily simple mechanism to cope. They either discard subs impacted by satellites or they use (for example) sigma-rejection to discard the affected areas of their subs.
The spectroscopists and (especially) photometrists are a little more constrained. If the satellite goes over (or too close to) the target all they can do is throw away that data. For photometrists,if the satellite goes over (or too close to) a comparison it is necessary to remove that one from the ensemble for that sub. A real PITA, admittedly, but hardly crippling if there are a good number of other comparisons in the ensemble. The major problem, IMO, is teaching the pipeline to reject those occurrences without human assistance.