I think that this is an important point to keep in mind. I still find it very likely that Beaker culture was a catalyst for the spread of R1b, and that the initial spread of R1b was likely largely within it, against the grain of its initial spread.
I don't see a significant geographic correlation between Unetice and R1a/Corded Ware. Sure, there was probably spillover, but more than Beaker people? What's the evidence for that? I suppose your point is that "true" Beaker people were mostly not R1b, which is still a good possibility, but I'm uneasy with this "true"/not "true" dichotomy, considering how likely it is that Beaker people had multiple languages and genetic profiles.
Some IE and some non-IE is still a possibility, with Beaker culture again acting as a catalyst for the spread of IE, rather than spreading IE directly from its origin. That would also follow the pattern of the apparent earlier spread of IE by R1a peoples, whereby there is a likely correlation between Y-line spread and language spread. And it would also be consistent with what others have already brought up about the more female-oriented spread of pottery, which doesn't need to correspond directly to the Y-line (or language) spread. And the genetic part is a testable hypothesis--we just need ancient YDNA samples from early Beaker Iberia now, preferably deep clade tested if any turn up as R1b.