Right now (mid-May 2021), are vaccinated travelers coming from a COVID "risk area" required to stay in quarantine when visiting Germany?

I would like to visit Germany (departure from Romania, time ~ end of August) and I am trying to understand if I can do that without the need to stay in quarantine.

According to Robert Koch Institut Romania is considered Risikogebiete (risk area). This article mentions that risk area means when the infection incidence is more than 500 / 100K, thus the 14 days quarantine is required.

It is still not clear if this also applies to fully vaccinated persons. From an epidemiological point of view, requiring vaccinated persons to stay in quarantine does not make much sense since vaccinated persons are way less likely to get infected or infect someone else.