Your feelings are valid, but this is an example of a false dilemma fallacy. Privacy is not a black-and-white issue.
Something to remember is that once you begin starving entities of your private personal data, you begin the process of reclaiming privacy. As time goes by, old data becomes “stale”, and confidence of the accuracy of this data continues to drop. People change, and without new data, predictions can become useless. Eventually, such data may be deleted to free up space for fresh data.