Not my area of competence, let alone expertise, but I think time series require some adaptations of the common clustering techniques that rely on Euclidean distance and ignore the time dimension. I don’t recall that MLS covers that nuance.
Seems to depend on whether the objective is to compare and cluster entire time series or merely the values they contain? Might have missed it in a quick read, but I don’t see time series mentioned in the documentation for algorithms from common toolkits like scilearn, so be cautious that the optimization approach they use is appropriate.
Articles like this might provide ideas…
A review and comparison of time series similarity measures
Maybe look into Dynamic Time Warping. See for example
Summarizing a set of time series by averaging: From Steiner sequence to compact multiple alignment
François Petitjean, Pierre Gançarski