Clocks do drift. Seconds a week is definitely possible. I think there are varying quality of internal clocks in electronic devices, and the cheaper the quality the more drift there is. I think small cheap microcontrollers can drift seconds per day.
I have an extremely cheap and extremely low power automatic cat feed - it’s been on 2 D batteries for 18 months. I just reset it after it had drifted 19 minutes, so about 1 minute a month, or 15 seconds a week!