Both of those are notifiable diseases in NSW and they have to be reported to the Health Department. The notification does not identify punters but it does indicate the premises and the working names of the girls. The Department contacts the shop immediately and expects co-operation. Co-operation requires removing the suspect girls from the roster until they are tested, (treated if necessary) and cleared. The Department has the power to close a business immediately if co-operation is insufficient. There has not been a detailed survey of WL's sexual health since 2016 but at that time the Joint NSW government/Uni of NSW research found that disease incedence among indoor WL's was the same as normal women. However, the Sexual health of street workers, transvestites and homosexual prostitutes was many times worse.
Obviously it is in the interests of the shop to stay onside with the Health Department, because any adverse report which became known could wipe out their business.