What do you actually consider is a pedophile or child abuser
There is a clear definition of a paedophile. It is someone who is mainly or exclusively sexually attracted to prepubescent children.
What constitutes child abuse is more complex in that the definition is driven by societal norms. The age of consent in the UK was 12 from 1275 to 1875 and wasn't raised to 16 until 1885. Tony Blair's government proposed reducing the age of consent to 14 in 1998 but withdrew the proposal in 2003 due to lack of support. This is, of course, for heterosexual activity. The rules for homosexual activity have were different until 2001.
Personally I am happy with the current legal definition in the UK. However, I would not judge the past by today's standards.
Those attracted to teens are called something else beginning with E that I can't quite remember. Still very much illegal
The term I think you are referring to is ephebophilia. That applies to someone who has a sexual preference for mid to late adolescents (age 15-19. Having such a preference is not illegal. Acting on it is only legal if the adolescent is below the age of consent or the adult is in a position of trust with respect to the adolescent.
In terms of legality, I think you've confused ephebophilia with hebephilia. That is a sexual preference for pubescent children. Again, having such a preference is not illegal but acting on it is always illegal.