In wireless 5G industrial networks often time critical communication require low latency guarantees. In such scenarios Time-Sensitive Networks (TSN) are employed which can give certain Quality of Service guarantees. In research and the industry the Time-aware Shaper (TAS) has been the prominent algorithm to critical communication. TAS relies on time slots for sending periodic traffic of each traffic class. When devices are precisely synchronized this can give streams excellent delay guarantees. However, this time synchronization introduces a vast deployment complexity across the network. For traffic with more relaxed requirement this may be not needed. The Asynchronous Traffic Shaper (ATS) on the other hand does not need time synchronization. The ATS works for any rate-constrained traffic and enforces this rate-constraint again at every bridge by emulating a Token Bucket with the ATS Scheduler. At the same time the ATS Scheduler contains a parameter for the maximal time it delays packets to uphold the rate-constraint before they are dropped. In this work we analyze the application of ATS in a wireless TSN network. In 5G systems packets experience stochastic packet delay that can cause changes in traffic behavior. We show that the standard deployment of ATS is not able ro reliably deliver traffic and drops packet at even low loads. To mitigate this problem we propose the usage of Packet Delay Correction. With Packet Delay Correction we can force the stochastic packet delay to be concentrated again on the maximal delay and achieve transparent traffic behavior. We show in a simulation environment that this achieves a reliable stream delivery.