Kenwan:
A GIS data importer program treated the attribute data associated with the text elements as the database linkage and refused to import the data
That program is poorly written. Look in msdefs.h to see a list of LINKAGEID_XXX, including LINKAGEID_TEXTSTYLE (0x5801). Look in dbdefs.h to see database linkage IDs. There's no clash of IDs, so the GIS importer must be taking a simplistic approach to analysing MicroStation data linkages.
Now you've explained what you want to achieve, I guess it would be OK to copy the DGN model to a temporary file, then discard the text style linkages before handing over to the GIS importer.