BTEQ is often known (or referred to) as a report writing tool.
It has those capabilities.
FastExport and TPT are high speed bulk loading/unloading tools.
It is best to use BTEQ for the types of tasks you are trying to run.
TPT cannot load data into any database other than Teradata.
(You can use TPT to move data from a non-Teradata database to Teradata without landing the data to disk.)
However, TPT is a bulk data loading/unloading suite of tools.
We do not include column headers (that functionality is best left to a report writing tool).