I think Americans still can't help but respond to the natural authority of this voice. Deep down they long to be told what to do by a British accent. That's why so many infomercials have British people.
People are always going to say stupid things, and you're always going to be able to make jokes about that, but it should be the last thing you add in, because it's the easiest thing.
I do one accent - my own. I can make it louder or quieter. That is the sum total of my vocal range. I thought I could do an American accent until I tried it in front of an American - the expression of horror is still burnt onto my retinas.
My family are from Liverpool, so I have some twang there - I have a Midlands accent, and I was raised about an hour north of London, so my voice is a mess. Although, to American ears, it sounds like the crisp language of a queen's butler.
My family is from Liverpool, so I have some of those vowel sounds, I've got the slack tone of someone from Birmingham, and then I was raised in Bedford, which is just north of London. So my accent, if it's possible, makes even less sense to a Brit than to an American.