Those both seem like implementation issues.
And when the person phones up tech support “ma'am, does it show the www. in front of the website?” “no” “sorry you need to retype” “it still doesn't show www.” is going to happen.
Or someone will write down the URL from the screen, and when someone else types it in, it won't work.
Oh, right, and there's the same issue with sites where https:// has a different site to http://!