Back in the early to mid jet transport days, each aircraft carried aboard a crew member whose primary job was to watch for trouble and keep things copacetic - sort of an airborne veterinary nurse. They were known as flight engineers.
Now we get bells and whistles, bings and bongs and on some cheeky aircraft, a little voice that regularly insults one's intelligence during the flare.
Audible alarms are absolutely necessary for critical configuration and failure situations. Ideally, these should be prioritized according to level of concern. A few decades after Apollo 13, and with a less than perfect ending, AF447 comes to mind when discussing alarm overload.
Were it my fuzzy little one on the operating table, human monitoring with warning alarm backup would be my preference.