My sister says the same thing, and that it's not limited to watches, but other electronics. I don't believe it, but there you go.
To study it more, a related topic is SLI -- because street lights have a thing they do where they shut off sometimes then after cooling down come back on again, many people because they are there when it happens, begin to think they cause it. It started the phrase "street light interference" or SLI. They call themselves "SLIders".