It costs the government more money to have "Share of Cost".
It costs the employees time to work the cases like these and to deal with the people who are on "Share of Cost" who call in with questions and/or concerns because they just don't get it.
It also causes more stress and medical problems to the people that really are already in need of medical help.
Also, If people want to go around the system, they just have to go to the ER at the beginning of the month to meet their "Share of Cost" and be covered for the rest of the month. Mind you - ER visits can cost $1500 and up! That is absurd.