Those demands included that Qatar curtail support for the Muslim Brotherhood, shut down the pan-Arab Al Jazeera satellite TV channel, close a Turkish military base and downgrade its relations with rival Iran.
Egyptian Foreign Minister Sameh Shoukry has blamed Qatar for "human suffering" in Syria and Libya in an exclusive interview with CNN.
"They are constrained in what escalation measures they can take and they're facing an worldwide community that prefers some kind of negotiated settlement, which they're not really interested in, " Griffiths said.
Saudi Arabia, Egypt, Bahrain and the UAE severed ties with Qatar last month.
Doha's response to the 13-point list of demands "evinced complacency" and failed to recognize the gravity of the situation, the alliance said Wednesday as the deadline it gave Qatar to comply with its demands expired.
"The four states which said that Qatar must be isolated, so to speak, now say 'We want Qatar to stop terrorist financing, that they do not offer terrorist protection, that they stop intervening in the region.' All other demands are no longer addressed", Gabriel said.
Trying to find reasons behind Qatar's royal family's support to terrorism, an article published in the New Republic explained that it is just a continuation of a bad decision made by former Qatari ruler and the incumbent emir's father, Sheikh Hamad bin Khalifa Al Thani, and his foreign minister and prime minister, Sheikh Hamad bin Jassim bin Jaber al Thani.
Qatari officials have repeatedly said the demands are so draconian that they suspect the four countries never seriously meant to negotiate them, and were instead seeing to hobble Doha's sovereignty.
"The boycott will remain", Saudi Foreign Minister Adel al-Jubeir said.
Dr Anwar Gargash, Minister of State for Foreign Affairs, tweeted on Thursday: "For any real discussion with Doha to gain traction, it has to be responsible for past actions and recognise the necessity of changing course".
Observers, including diplomats and analysts based in the Gulf, said there is more latitude for economic - rather than political - pressure to be ratcheted up, with steps that dent Qatar's reputation and increase risks for global companies and banks doing business with Doha.
Any further steps taken against Qatar would be "taken at the appropriate time" and be "in line with worldwide law".
Analysts think that it could lead to a creation of a new geo-strategic puzzle in the Gulf as well as affect the functioning of the six-member Gulf Cooperation Council (GCC); a political and economic alliance.
Trump has been in contact with Egyptian President Abdel Fattah El Sisi by telephone to discuss the stale mate while pushing for a diplomatic resolution.