Do airlines still use the same info as on the IATA website during the COVID-19 pandemic, or do they have access to more up-to-date, exhaustive info?

Looking at the IATA website, some information is dangerously outdated. E.g. the current information for Hungry is very different from what https://reopen.europa.eu/en/map/HUN mentions, and the later seems supported by the Hungarian official gazette.

Do airlines still use the same information as the information displayed on the IATA website during the COVID-19 pandemic, or do they have access to more up-to-date, exhaustive information, e.g. coming straight for government officials without any Timatic delay? If they do, can passengers have access to some/all of them so that they can better estimate their odds of reaching their destination and plan for traveling?

For the sake of the example, here is the current information for Hungry:

https://www.iatatravelcentre.com/international-travel-document-news/1580226297.htm:

Published 22.06.2020

1. Passengers are not allowed to enter Hungary.

• This does not apply to nationals of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czechia, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Ireland (Rep.), Italy, Latvia, Liechtenstein, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland and their family members.
• This does not apply to nationals of Korea (Rep.) and Japan traveling on business.
• This does not apply to passengers with a signed and stamped letter issued by the Deputy-Chief Officer of the National Police.

2. Passenger with a signed and stamped letter issued by the Deputy-Chief Officer of the National Police are subject to 14 days quarantine.

vs. https://reopen.europa.eu/en/map/HUN:

May I fly to this country? YES, WITH LIMITATIONS Hungary has divided countries in three categories (green, yellow and red). For each category, a different set of rules of entry, health and quarantine applies. Travellers can enter Hungary without any restrictions from countries belonging to the green category. Hungarian citiziens arriving from yellow or red labelled countries are subject to obligatory health checks. If the health examination reveals a suspicion of infection, 14-day quarantine will be imposed by the epidemiological authority. Quarantine is not required for Hungarian citizens having performed a PCR test twice, with the second test been taken at least 48 hours after the first one, and within 5 days prior to entering Hungary, and both these tests certify a negative result for SARS-CoV-2. Non-Hungarian citizens cannot enter Hungary from red countries. Non Hungarian citizens arriving from yellow labelled countries must undergo medical examinations. If the health examination reveals a suspicion of infection, entry into the country is not allowed. If no infection is suspected, the person shall be placed in quarantine for 14 days by the epidemiological authority or, if possible without risk, in official home quarantine. The updated list of countries is available (in Hungarian) at the official gazette Air passenger rights. Updated info on air travel regulations may be found at the IATA website

Not to mention the countries for which IATA mentions:

Latest Updates currently under review

I'm assuming airlines have some information for these countries as well.