Yes, I would call the Bersa a DA.
You can make the first shot DA if you use the decocker. The DA pull on the one I tried was pretty stiff. Which I hear is normal for PPK-type pistols. Subsequent shots will be SA, which is a pretty nice trigger pull on the one I tried.
I like the manual of arms. Insert a mag, put the safety/decocker on, then rack the slide (pointing in a safe direction). You now have one in the chamber, a safety on, and the hammer down.
To get into action, you draw, flick off the safety as the pistol comes up, then take the first DA shot. Very safe, but quick to action. I like it.