Does it matter what I name the ship?
Solution 1:
It appears to be a purely cosmetic choice right now. It doesn't lock you out of any content or change any other content. At most it changes the response Anduin has when you turn in the quest.
Note that Blizzard up until this point has always been upfront about choices locking you out of rewards or gameplay, even if the choice can later be changed. even back in TBC, Khadgar warned players about the choice between Aldor and Scryers.