Right, two sperm and two yolks in a fertile double yolked egg. Not identicals, it would be the same as two regular eggs.
Two chicks from a double yolker can even have two completely different fathers(sperm from one roo fertilizing one yolk, another roo's fertilizing the other yolk).. in that case they would be half-sibling twins.
Eggs in a clutch are all siblings, just the same as anything else. Nobody considers puppies in a litter "twins" even though they gestated and were born at the same time.
Fraternal twins is really just a term for more than one baby at a time for a species that normally has only one at a time, like humans, chimpanzees, horses etc. A double yolk egg could be considered twins as it's the "exception". "Fraternal twins" are not normally used for species which normally have multiple babies at once.. such as cats, dogs etc.
Identical twins is quite unusual and can be used for any species, even in a dog or cat- they can potentially have identical twins amongst normal siblings in a litter.
Some species of armadillos are very unusual in always having identical offspring- the nine banded armadillo supposedly always has a quad of identicals at birth.. one embryonic egg splits up into 4 embryos.