I just consider Not Like This a gold standard in an otherwise flavor of the week genre. Most bands are trying to do this style and their songs suffer on the behalf of style points because songwriting takes a backseat to making sure there are lots of yells and heartfelt guitar chords.
Every genre has their keepers and Not Like This is what I would take from whatever genre this is called. Post-hardcore or god knows what. I'm too old to follow trends.