Well, on the contrary, I would love to have pop up notifications when:
-An antivirus ends its scanning or finds virii
-The tcp-ip stack gets online and is ready to be used
-One of my disks is almost full
-cd/dvd burning is complete
-An application crashes
-A rendering is complete
But then, if you are just not used to multitask under AmigaOS, you wont probably apreciate this.
Anyway, it is your choice.
im used to multitask on any computer i have but i prefer not to have popup messages while i lets say am playing an online game or watching video. anyway im not convinced by your example use cases, there is no virus on amiga worth to have scanner running in the background, the tcp stack is fine when run once and its gui application is enough to tell me if it is online or not. i dont need notification for it. same for cd burning, whoever still does that in the usb stick era, an application is enough to handle it. what concerns app crashing, amiga has guru mediation or third party systems to to take care of this, like smart crash. and i prefer to check if my render is complete after im finished with other tasks.
honestly, maybe notification can have some advantages for complex systems like windows or linux, but average amiga user would probably consider it a part of what he calls "bloat". and i might agree here.