DLC maps are not required, however this trophy didn't pop until I finished
Lab Rats on Death Wish. That is an event though, so you'd think that in that case you need all events as well for this trophy, right? NOPE! I never played Prison Nightmare which is the other event. So be aware of this.
Good news though, the difficulty specific trophies, so
Shit just got real,
Tough act to follow,
Completely OVERKILL! and this one,
OVERKILL Salutes You! stack. I only did them on Death Wish and I unlocked all these trophies at once (and my Platinum too
)