I think it really depends on the other factors, besides size, with the standard configuration you will get 12 civs, that's 4 more than you get in standard size, these mean, (in the best of the cases) that you will have more commercial partners, that's great for a civ like Arabia when you have those starts on huge with 5 o 6 copies (in some map types) of the same luxury resource and you have the monopoly of one or two of the world luxuries.
If you're playing on a map type with large landmass, such as Pangaea or Great Plains, the Shoshone would be able to scout the land very easy and find lots of ancient ruins, (these is a well known strategy to win a game at higher difficulties, configuring the game and creating a map witch serves more to your civ and harming the others, the same goes for Aztecs in lakes, Polynesia in little islands with a high ocean level, Celts on maps fully covered with forest, highlands with Incas, etc.)
If you try to do this strategy of the Shoshone with a slower game speed and less IA civs, you can scout all the land in a relatively early phase of the game (because the map is the same size and the units move the same, but the game phases demands more turns and time).
Let's see what happens if you mess around with other setting and not remain that ''standard''
If you play huge with much less than 12 civs, like, half of that, on large landmass maps this will encourage you to play wide, so, using civs with wide bonuses like Rome, the Shoshone (that I mentioned earlier), but especially
India will feel like fish in a pond.
If you max the number city states in a standard or large landmass maps you can get great bonuses from being Mongolia (if you like to play the Khan's paper, otherwise, no
) , Greece or Siam, without having the city sates occupying your vital space, and hindering the expansion process of your civ.