Atmospheric phenomena, such as waves, tides, and compositional changes, routinely propagate and extend well above the Kármán line into the thermosphere and ionosphere.
The claim states that atmospheric phenomena extend beyond the Kármán line from above (meaning upward from the lower atmosphere into the upper atmosphere/space boundary, or simply existing above it). The retrieved papers extensively document atmospheric dynamics, waves, tides, composition, and long-term trends occurring in the mesosphere, thermosphere, and ionosphere (altitudes well above the 100 km Kármán line) and how they are driven by lower atmospheric processes. Therefore, the claim is well-supported by the literature.