Why did the Romans think that blood and death made a good spectator sport?

We aren’t that far removed from the Romans, alas. Look at our own sports; look at our movies and TV shows; listen to rap lyrics.

At least the Romans claimed that they had a higher purpose in their blood lust.

They thought that seeing death would train their population to be good warriors.

Furthermore, the blood sports had religious significance.

They had begun as a component of funeral ceremonies, based on the idea that shedding human blood somehow helped the soul of the departed move along to the next world.