I admit, I fibbed on the form to and from Japan, and I will be doing so again when I move there this summer. I fibbed the value of dolls I was carrying with me, as I have no intention of paying for dolls I've owned for years all over again (excepting the two I bought on my last trip, which were $1500 on their own.) So on my last form, I wrote "Dolls: $400" and all the US customs fellow said was "Dolls?" I answered, "I collect them." He wished me a good day, and sent me on my way.
I don't think most customs people would believe me if I said I was hauling almost $5k in dolls on my carryon bags anyhow.
I don't make a habit of lying, but this was one exception I was willing to make. :/