The functional earth is often connected to an SELV circuit and thus must have double insulation from all mains live conductors, the neutral could become live very easily and thus must be presumed live. Also the functional use may be using a DC voltage and thus needs a rectifier between the mains and the output, as well as probably a level of isolation as well.
The leakage current that you refer to from computers is due to the EMC filters. You can't connect the neutral connection to the metal case of the computer because in some countries it would become live, so you connect the metal case to earth, and the capacitors try to be a short circuit at radio frequencies but still leak a bit at the 50Hz of the mains.