What if the phone was switched off?
CallReply keeps a resume point. When the phone restarts, the app reads the call log from that point and handles the calls missed in the meantime, following the same rules: one text per number per day, daily cap, STOP list. There is nothing to restart by hand. On some brands such as Samsung, Xiaomi, Oppo or Huawei, you need to exclude the app from battery optimisation; the built-in setup guide shows you where that setting is.