Not OP, but it really depends on your lifestyle. I need to be connected most of the time because of my job and in case of family emergencies.

Before wearing an Apple Watch, I'll need to take out my phone to look at the notification and determine if it's important. By doing so, I may unlock the phone and do something else as well.

But with the apple watch, I'll glance at my wrist for the notification and see if it's important. If it's not important, I'll dismiss the notification and continue with whatever I'm doing. I'll only take out my phone to respond if it's truly important or require immediate attention.

Just this aspect makes me still be available for the important stuff but can put down/away my phone more often.