Going to say Tyler's death was only a dream
Upon rewatch, you notice the lighting is kind of dream like, and Sybil is consistently messing with Damon's mind. I read a theory earlier that maybe Damon pictures Tyler as his subconscious, he doesn't mention Elena by name, or Bonnie, or even Stefan. Tyler (Damons last bit of will) reminds him that he won't be forgiven, it'll wake him up at night. So, what if he killed Matts mom, and then next episode he apparently meets Matts dad, Peter, and kills him. In 8x05 the gang and Matt realize Damon just murdered his parents.
The reason I give this theory more thought is because Tyler is supposed to have actual information about beating Sybil. So, he shouldn't be dead. Especailly since
A: Julie Plec and co. Didn't RIP Tyler Lockwood all over social media.
B: we know how they like fakouts, cough* burning caskets cough*