I half agree with this. Lots of people travel with an infectious disease and are not told they are not allowed to travel. Like a person can get on almost any train, even with an obvious infectious disease without problem. The point being that the mother was very unlucky to be even questioned about the condition.
A person can look at a photo and think that the skin condition looks like what the child has, but is it the same condition? That may be hard to say. Or maybe the photo does not match. Example are these two babies in the links below both have the same condition?
Warning: links contain pictures that may upset certain people (a baby with a severe rash).
https://www.researchgate.net/figure...irth-with-Harlequin-ichthyosis_fig1_257795539
https://www.researchgate.net/figure...rlequin-ichthyosis-in-the-baby_fig1_263097093
Answer yes, but if you were presented with one baby and looked at the other photo would you agree the baby has the same condition? This is the same condition that the baby in the link in the OP had.