"House of Healing" is overpowered

You just need to wait for some "Law Cooldown" and you get a house similar to Infirmary...
You don't need to hire keep engineers to research tens of stuff, you don't need to struggle so many resource scarcity, you don't need to stay in a research tree dilemma (law tree is much more simple)

Only you lose is just one worker and wolah, you get a healt building as powered nearly as infirmary (15 to 12).

Isn't it too overpowered? Change my mind.

informational notes from wiki:

• An Infirmary operating at 100% efficiency will cure a Sick person in 12 hours and a Gravely Ill person in 24 hours.
• A House of Healing operating at 100% efficiency will cure a Sick person in 15 hours and a Gravely Ill person in 30 hours.
• A Medical Post operating at 100% efficiency will cure sick patients in 24 hours