If you look directly at it, a T5 will look brighter than a T8 because its a more concentrated light source. In terms of lumens per watt, A t5 is more efficient that an t8, which is more efficient than a t12.
So assuming both bulbs were the same wattage, the T5 would put out more light. Now if the T5 was a HO, then it would automatically be putting out 2x more light than the T8, and after factoring efficiency it would be putting out 3x more light.