How much current would the capacitor/resistor attached to it use?
Modern microcontrollers are insanely power efficient. An ESP32 in "light sleep" (which would be sufficient to serve timer routines) is said to consume <1 mA (at 3.3V), down to ~10 uA (microamps!) in "deep sleep".
In other words, 1 year in deep sleep is 315 ampere-seconds or less than 100 mAh.
Obviously it's irrelevant in this use case (where the goal is running a motor every wake-up cycle), but nowadays, as absurd as it looks, being power-constrained isn't necessarily a reason to not slap something on it that happens to also be able to do cryptography, connect to WiFi and make HTTPS requests.