No, the tables which store text are not included within the Client Construct configuration by default. Here are some important points to help understand why this is the case:
Client Construct is designed to copy entire tables only and so does not have the capability for copying only a subset of data (Data Echo must be used in order to copy only a subset)
All text objects are centrally stored within tables STXH and STXL; this means that these tables store text for both master data and transactional data objects
These tables may store significant data volumes and so copying all of the data stored in these tables may consume a lot of space in the target database
It is technically possible to add these tables to the Client Construct configuration if this is a hard requirement for your organization, but be mindful of the reasons why this is not recommended.