The pre-flight test is 100% clear, from the German Health minister directly:
Negative Covid test must be shown
Anyone travelling to Germany by plane must also still show a negative test before boarding, regardless of which country they are flying in from, Spahn added.
The updated travel guidance comes as Germany has significantly ramped up its vaccination pace, with more than 33 percent of adults having received their first jab so far.
https://www.thelocal.de/20210512/ger...summer-travel/
Several other articles are reporting this.
Also, the official website is clear, the exception for vaccinated people only apply to quarantine, not test before boarding a plane.
Test requirement on entry to Germany
Air travel
From 30 March 2021, all persons travelling to Germany by air must present a negative COVID‑19 test result before embarking on their journey. This applies regardless of the country from where the individual has travelled and also to passengers only traversing Germany (i.e. for international transit). Persons under six years of age and aircraft crews are exempt. The negative test result must be presented to the airline before departure.
[...]
Quarantine regulations
In Germany, the individual Länder are responsible for quarantine regulations. The Länder have put in place their own regulations on the basis of a specimen regulation.
Exception: people vaccinated or recovered from an infection except when entering from virus variant areas
From 9 May 2021, an obligatory quarantine period no longer applies for entries from
risk areas and high incidence areas for those who have been vaccinated or who have recovered from an infection.
People who have been vaccinated are those who have received all required doses of a COVID‑19 vaccine listed on the
website of the Paul-Ehrlich-Institut.(
https://www.pei.de/DE/arzneimittel/i...d-19-node.html). A period of at least 14 days must have elapsed since receiving the last vaccine dose. Vaccinated persons must not display any symptoms typical of a COVID‑19 infection.
Individuals who have recovered from an infection are those who can submit a positive PCR test that was conducted at least 28 days previously but no more than six months ago and who do not demonstrate any symptoms typical of a COVID‑19 infection.
A mandatory quarantine period continues to apply to people entering the country having stayed in
virus variant areas and for those who were in contact with a virus variant that is not yet widespread in Germany.
Further information about regulations for people who have been vaccinated or who have recovered from an infection is available on the
website of the German Government.
https://www.auswaertiges-amt.de/en/coronavirus/2317268