Different things work for different people. Choice is good. 
I personally don’t use an automatic mute because I get a lot of spam calls which I can tell are spam just from glancing at the caller, and I don’t want my television to mute every time one of those comes in. But my echo hears me just fine over the television, so it’s very easy to give the verbal mute command when I want to. So at my house I rely on my watch to tell me a call is coming in and then I decide whether not to pause or mute the TV. But it’s all about whatever works for you.