In what way might Titus Andronicus have been satisfying and pleasurable to an Elizabethan audience?

The main satisfaction of an Elizabethan audience would be that they could relate to the violence on stage. They themselves were probably very much used to pubic executions and bear baiting. The acts that, to us, are gory an horrific, could have been a reality to a majority of the audience:
"[He is] to be hanged until he were half dead, his members cut-off, his bowels to be cast into the fire, his head to be cut off, his quarters to be divided into four several parts and to be bestowed in four several places." (The Trial of Philip Howard, 1589)
Titus Andronicus contains historical ideas a…