Im on my third baby and I've never heard not to bathe them with the cord.. I've always bathed them from birth and never had any problems.. Jaycee took 3days to fall off, Ellie 2weeks and Lilyanna 3weeks.. U have to keep it clean or it will become infected.. As long as its cleaned and dried properly I don't think it makes a difference whether they are bathed or top and tailed.. It's not like they soak in the bath it's in, cleaned and out..