Actually there is another way to get the Pulse DLC.

Download Sony's Media GO! software onto your PC, you can then download it straight from the PStore onto your PC, then transfer it to any device you have registered with the Media GO! software.
The files are so small, I have all my computers set up like this, all with the PURE & PULSE games + DLC and Media GO!, easy for me to just un-register a PSP console or PSTV, and register a new one to transfer the games and DLC for somebody else onto a new different one, on the understanding that if it was to be connected online they would probably lose everything....it more a local service for Wipeout tragics.