Focusing only on "strikers" - so ignoring wingers who can play through the middle etc:
Chelsea - Yes, Costa
City - Yes, Aguero
Arsenal - Yes, Giroud
Man Utd - Yes, Rooney
Spurs - Yes, Kane
Liverpool - Yes, Sturridge
Swansea - Hmm, maybe, probably a yes, Gomis
Stoke - No
Palace - No
Everton - Yes, Lukaku
West Ham - Yes, Sakho
WBA - Yes, Berahino
Leicester - No
Newcastle - Hmm, tough one, again probably a yes, Cisse
Sunderland - Hmm, is Defoe past it? Hard to tell in a poor Sunderland team. But I'd be tempted to just about give another yes.
Villa - Yes, Benteke
Hull - No
Burnley - Yes, ish, Ings
QPR - Yes, Austin
So whilst I think you are being very harsh on Pelle, actually your comparison to other teams is not far off.