Yes, but only on Pawian's rendition.
Its coat is as dull as Krakow`s
Yes, they were thinking hard how to represent the motto "nie kijem go, to pałką"; meaning - "inaczej, w inny sposób, ale z tym samym skutkiem". In English: If not (hit him) with a stick, then with a bludgeon"; or "in other way, but with the same effect".
So, they they came up with the key and with the sword, and hence with saints Peter and Paul.
[There is not a single seed of truth in it, but it sounds nicely, doesn't it?]