I think the DI is Pre. This is taken directly from the Hartke manual from the PDF on their web page.
Direct output - This standard male XLR connector provides a mic level pre-EQ (and pre-Volume control) balanced low-impedance output from the amplifier. This ouptput is usually used this to connect the Kickback to a Direct Injection (DI) box or to an XLR mic input when interfacing with external sound reinforcement or recording mixing consoles. The signal from this output adds approximately 6 dB of gain to the input level. 9.
Direct output - This standard male XLR connector provides a mic level pre-EQ (and pre-Volume control) balanced low-impedance output from the amplifier. This ouptput is usually used this to connect the Kickback to a Direct Injection (DI) box or to an XLR mic input when interfacing with external sound reinforcement or recording mixing consoles. The signal from this output adds approximately 6 dB of gain to the input level. 9.