It's not dumb to take whatever precautions you can.
And people do worry about having their pictures taken. Remember the scandal when a school took pictures of children undressed at home with their laptops' cameras?
https://en.wikipedia.org/wiki/Robbins_v._Lower_Merion_School...
They aren't idiots for realizing that humans are, above all else, sexual animals.
I'm sure putting tape over the camera isn't the only security precaution the director of the FBI has taken.
Not necessarily. Maybe an adversary having naked pictures of you (or seeing your affair, or whatever) causes you more (financial?) trouble than what is on the bank account.
I have no personal information on it
and you bet I have tape over the camera. Not just because of security, but many communications apps simply turn it on by default when you start a session... Lync, WebEx, Hangouts etc...