Sure, in the disease centre you have highest chance of catching the disease. Outside of the centre, it is where the nurses' home are and hang around that will determine how many people they get into contact with and who they spread to. Fortunately or unfortunately these nurses usually don't live in that neighbourhood as they can't afford it anyway. They are more likely to be spreading in some HDB / mass market housing estates. If there are diseases that can spread from human to human (and when that can happen it is material where you are such as SARS which can spread to HK, US, SG, everywhere).
On the other hand, if you have any other emergency, staying close to hospitals will save your life and you from permanent disabilities. That is a fact (regardless of whether you want to accept or not).