Curing involves retaining the moisture in the screed in order that the cement can hydrate properly. Therefore, from the technical purist point of view, the screed cannot dry whilst it is being cured. once it has been cured it can then be allowed to dry. It is not really possible to determine if it is dry enough to tile without carrying out moisture test but being reasonable a day should generally do it. There are screeds that use chemical means to tie up the water which will be dry enough earlier. Some say 4 hours. My concern is that if the cement is still hydrating at this time then it is shrinking and could crack or curl and part company with the sub floor. Leaving it 24 hours is almost like having a safety net so that is any cracking or curling is going to happen it is likely to have already happened after 24 hours and you can decide if it is mechanically safe to tile to.