Islamic Jihad is very upset with Hamas' Al Qassam Brigades for taking credit for the operation that killed two Israeli soldiers (which Islamic Jihad named "Operation Luring Idiots.")
Hamas had written a detailed account of the operation, including an interview with the purported members of the team that engaged with the IDF.
Islamic Jihad derided the Hamas account as a "fiction," especially a part where Hamas claimed to have shot at the soldiers from afar and that they refrained from firing on an Israeli ambulance because of respect both for international law and Islamic principles of morality. PIJ's response was to sarcastically ask why they were respecting international law when Israel targets hospitals and mosques.
Trying to walk the line between respect and derision, Islamic Jihad came out with a statement saying "Our brothers in Al-Qassam Brigades - whom we hold in high esteem as one of the other arms of the resistance - should more often check for accuracy before making statements to the media."
They agreed that the Al Qassam Brigades were in the area as backup, but denied that they were an integral part of the operation. And as a final measure of proof, PIJ referred to a Ha'aretz account of the fighting that more closely corresponded with Islamic Jihad's account than with Hamas'.
The implication is that he hated Zionist media won't lie the way Hamas does.