If you do need to receive urgent messages, create a "fast lane", some way to contact you only with urgent matters. Some trusted/comprehensive people can have direct access but in this age of search I find google filters do most of the work for me. If something is flagged as urgent or time sensitive it is sent to a device with actual notifications. Seems to work fairly well after some fine tuning of the filters.

 

https://medium.com/@evansolomon/siri-focus-my-attention-3689f413af27