Abstract: We study a version of de Sitter static patch holography in which the Euclidean gravitational path integral, with an observer worldline included, is conjectured to compute a trace. Motivated by recent evidence for this conjecture from the sphere path integral, we test it further by inserting operators along the observer worldline and computing two-point functions and out-of-time-ordered four-point correlators (OTOCs). Building on earlier work, we compute the OTOC using the shockwave formalism, incorporating both observer recoil and gravitational backreaction. I will explain that the OTOC conflicts with two basic properties of a trace in a Hilbert space: cyclicity and positivity. This talk is based on arXiv:2607.14042.