Good explanation, the tbb that naruto made against the other 5 tailed beasts would be good to add since it was also massive (similar to the one in narutos subconciousness.
Also people are getting confused, tbb is made up of positive- black chakra and negative- white chakra. Neither yin or yang chakra have been linked to these chakra colour, ie black doesn't equal yin, white doesn't equal yang and visversa. Taking away half of the kyuubi's chakra is like splitting naruto's chakra via shadow clone. It doesn't automatically cut the power of narutos attacks by half, instead it only means he has half the chakra/ stamina to put towards techniques.
The tbb yin/yang kurama fired at hashirama was weaker and smaller then the one yang kurama used to counter the 5 tailed beast combined. Yin/yang is irrelevant considering that yang kurama simply put more positive and negative chakra into that particular tbb - hence it's greater size and power relative to the one fired at hashi.