My preference is to use liquid membranes. The sheet types do provide the ultimate barrier with the one big drawback, multiple overlap buildups. In some cases this can be problematic when working with certain types of tile.
The new HydroBan and Mapei Aqua Defense basically dry in one hour if temperature and humidity conditions are ideal. Inside corner edges still take some time to dry out even at the ideal climatic range.
Bottom line is, you use whats appropriate for your installation methods and the requirements of the job.
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Randall