Hello student

hope you are doing well and safe. With reference to your query,  I would glad inform you that  in my opinion you should put nits according to their nirf ranking and branch you want because at last when seat will be alloted in NIT which comes first in your order list and statisifies the cut off so for those NITS for whom your rank is less they automatically skips them so its the same thing only

Hope you found this answer informative. Best wishes for your future