What could possibly lead you to such a bizarre conclusion? If the data density is sufficient to allow meaningful interpolation and if the validity of that interpolation is confirmed by subsequent, more granular, data then a continuous model is wholly possible. Which just happens to be the situation we find ourselves in. You would only be called a liar by the ignorant, the unskilled, the thoughtless and the foolish. (Granted, that's a prettybig group.) The data clearly show that the line is now discontinuous. If sufficient popcorn is left the data also show that the line was likely originally continuous. Of course it could be different in detail, it is unlikely it would be different in general.