Phones emit RF energy, some circuits are sensitive to interference. It makes sense that scales can be very sensitive to interference, they're a circuit measuring tiny little changes in a strain gauge, the finer the reading of the scales the more a bit of stray radio frequency energy can muck up their readings. If the scales were better shielded they might be able to overcome the interference, anything with metal casings connected to earth has a far better chance of rejecting RF interference, but that generally means having a 3 core mains cable plugged in, might be possible on expensive laboratory scales but not realistic on a plastic-cased lightweight pocket scale.