1- Deathcore does exist and is often use to describe such band as Despised Icon, Job for a Cowboy, Animosity, etc. I don't really like it but it, whatever if it can make these bands happy. 2- Despised Icon had some grind elements on their first full lenght "Consumed by your poison" and I enjoy that album sometimes. I don't really like their newer stuff nor do I like to listen to them live. Blastbeat/breakdown on repeat for 30 minutes isn't my thing... same goes for Ion Dissonance.