I would expect most to not pop huts on deity, until they were safe. That is if you had no troops and the huts was close, you could use a worker or the culture.
Otherwise you tend to wait till you have enough firepower to deal with some barbs. Remember that barbs are a lot tougher on Deity and Sid than low levels.
You have zero bonus vs them, not like those nice friendly Warlord barbs that have a 400 bonus going against them. That is to say I will not attack barbs with warriors, even vets, unless I have no choice.
I do not even like to use archers, only swords make me feel safe. On sid you probably do not want to have huts at all. They only help the AI get a jump and they do not need any more help.