  We analyze two recently-introduced flow measured that are based on a single
trajectory only: trajectory stretching exponent (TSE) to detect hyperbolic
(stretching) behavior, and trajectory angular velocity (TRA) to detect elliptic
(rotation) behavior. Haller et al. [2021] and Haller et al. [2022] introduced
TSE, TRA as well as the concept of quasi-objectivity, and formulated theorems
about the objectivity and quasi-objectivity of TSE and TRA. In this paper, we
present two counter-examples showing that all theorems in Haller et al. [2021]
and Haller et al. [2022] are incorrect.
