You are correct. Two different studies.
"Could the Basque be desendents of the neolithic beaker people?"
I don't know any thing about the beaker people. I expect the Basque did have a larger area under their control at one time. They probably survived all attacks by withdrawing to the mountains between Spain/France where they live to this day.
I don't know any thing about the beaker people.
I see others have followed up, so I will only contribute new information.
Rare image of a beaker taken
from a British website. Note
the flaming red hair.
In all seriousness, these DNA studies will add a great deal to our understanding of the history of peoples. For a technogeek like myself, my own fascination with the subject stems from one of the few humanities courses I actually enjoyed in college, A History of the English Language.