Hello Antonio,
ah, nice snippets indeed

But yes, the 4.(schwere) Kompanie of Radf.-Btl. 402 for sure had a Pak-Zug, of which Lt. Adrario was the Zugführer. And of course, as always with Zugführer of gezogene Pak (towed Pak), it's the unit's succes. Usually the Zugführer was NOT an gun commander (Geschützführer). That changed just later with Jagdpanzer or Sturmgeschütz equipped Panzerjäger-Kompanien.
But: the sentence "befand er sich selber am Spitzengeschütz, dem es gelang, fünf feindliche Panzer abzuschießen" would lead me to crediting him with 5 tank kills as obviously in this case he commanded this single Pak!
And, all of that was in the East, not in the West. The newspaper just mentions that he distinguished himself in the West (he got the EK2 there on 27.6.1940). The EK1 followed early during "Barbarossa" on 27.6.1941, and afterwards he had further actions leading to his DKiG, including this 5 tank kills while employed as part of a Vorausabteilung.
I would like to mention that even in Poland 1939 he was employed as an Oberjäger with 16.(Pz.Abw.)/Geb.Jäg.Rgt. 98.
Oliver