Sorry to put a butt in ya'lls joke, but I can imagine either doing either. There isn't a big difference between blues-based rock and Southern rock. Without blues music; rock, country and R&B as we all know it, may not exist.
In the 80's, Euro bands sounded "European." These days, non-English first speaking people (like Carnut, Hawk, Wyvern etc.) speak English as well as English first citiczens and more of the bands all "sound" English first.
The only difference between southern rock and a blues based rock band is a touch of country music and country was formed from folk and blues anyway. Though Europe is a little more compact, there certainly is farmland and cattle rasing just like in many parts of the US.
Can a German write "true" American Southern Rock in a way that can express the way a "Southern American" feels ? Probably not exactly, but they are certainly welcomed to interpret their vision of what being and living in "The South" is.
I don't know what it feels like to be German, but I can honestly say my two favorite bands in the world are German. My style of music playing also is highly influenced by those two bands. In a way, though I might not understand it per se, if I were to ever start a band and be the major songwriter, ny band would probably sound very "German" be it by influence as opposed to experience.
Tnayrb