"They aren't punk, they're emo. Punk is Ramones,
Social Distortion and Rancid. If you think MCR is punk, you don't know what punk is."
Emo is punk rock music. There are many sub-Genres In punk rock music.
"Emo is a subgenre of
hardcore punk music. "
Wikipedia
"Early Emo's Influence
In California,
particularly in the Bay Area, bands like Jawbreaker and Samiam began to mix the DC influence with pop punk to come up with their own take on the classic DC emo sound. On Jawbreaker's album Bivouac, singer Blake Schwarzenbach evolved from the traditional hardcore vocal sound into a more melodic crooning, which displayed a more emotional feeling of loss than the
desperation and frantic nature of MacKaye's voice. Other bands soon reflected the same sense of rough melody, including Still Life and New Jersey's Garden Variety. The style continued to evolve into the 2000s through bands like Avail and Hot Water Music.
Also in the early 90s, bands like Lifetime reacted in their own way to the demise of youth crew styled straight-edge hardcore and desired to seek out a new direction. While their music was often classified as emo, it was also considered to be melodic hardcore. In response to the more metal direction their hardcore peers were taking, Lifetime initially decided to slow down and soften their music, adding more personal lyrics. The band later added a blend of speed, aggression, and melody that defined their sound. Lifetime's sound, lyrics, and style were a virtual blueprint for later bands, including Saves The Day and The Movielife."
"The Second Wave (1994–2000)
As Fugazi and the Dischord Records scene became more and more popular in the indie underground of the early 1990s, new bands began to spring up. Combining Fugazi with the post-punk
influences of Mission of Burma and Hüsker Dü,"
Wikipedia
Here is a list of all Punk genres
Proto punk forerunners
Anarcho Punk
Anarcho-Skinheads
Anti-folk
Cassette Culture
Christian punk
Clockwork punk
Cowpunk
Crust punk
Death rock
Dance-punk
Eeriecore
Folk punk
Funkcore
Garage punk
Glam punk
Gothcore
Grindcore
Grunge
Hardcore punk
List of
hardcore punk genres
Post-hardcore
Queercore
Rapcore
Thrashcore
Horror punk
Nazi Punk
New Wave
No Wave
Noise Rock
Oi!
Pop Punk also known as Punk Pop
Post-punk
Psychobilly
Pub Rock Australia & UK
Punk pop (see the Pop punk article)
Punkabilly
Queercore
Rapcore
Riot Grrrl
Rock Against Communism
Screamo
Ska Punk
Skate punk
Skinhead
Softcore
Straight Edge
Street punk
Thrashcore
Two Tone
Urban Folk
So If a band is emo then its also punk