I believe few DBDs support many of the DBI trace flags. I say this as I added TXN, ENC, DBD and CON and perhaps one of the others (SQL?). DBD::ODBC does support all trace flags listed in the DBI docs. DBD was added so you can get DBD trace messages without any DBI ones.
I have a long standing TO_DO for DBD::Oracle to remove the old ora_verbose and replace it with DBD flag but although it sounds a trivial change it is not and it is a big change.
I'd like to see more DBDs support the trace flags. There are of course other ways to capture all SQL e.g., DBIx::Log4perl, DBIx::LogAny or by using callbacks (the first 2 of those can show your parameters with the SQL).