The main difference in this case lies in our threat model where we consider, in addition to the values of the regular and {\thething} events, the {\thething} timestamps $L$ as privacy-sensitive as well.
One approach would be to utilize the randomized response (described in detail in Section~\ref{subsec:prv-mech}) and randomize the answer to the question \emph{`Is the current event a {\thething}?'} for every timestamp in $T \supseteq L$ of the time series $S_T$.
However, this could result in a new {\thething} set $L'$ that does not include all (or even any) of the timestamps in $L$.
This contradicts the main idea of {\thething} privacy, i.e.,~take into account all {\thethings} at every timestamp.