I agree with what you say, but Idon't agree when you quote Kristiansen, which you did several times in this thread.
His arguments and his interpretations are to selective.
Here is another one Kristiansen does not mention, because it does not fit his narrative :
Early Neolithic executions indicated by clustered cranial trauma in the mass grave of Halberstadt
https://www.nature.com/articles/s41467-018-04773-w
Abstract
The later phase of the Central European Early Neolithic witnessed a rise in collective lethal violence to a level undocumented up to this date. This is evidenced by repeated massacres of settled communities of the Linearbandkeramik (ca. 5600–4900 cal BC), the first full farming culture in this area. Skeletal remains of several dozen victims of this prehistoric warfare are known from different sites in Germany and Austria. Here we show that the mass grave of Halberstadt, Germany, a new mass fatality site from the same period, reveals further and so far unknown facets of Early Neolithic collective lethal violence. A highly selected, almost exclusively adult male and non-local population sample was killed by targeted blows to the back of the head, indicating a practice of systematic execution under largely controlled conditions followed by careless disposal of the bodies. This discovery significantly increases current knowledge about warfare-related violent behaviour in Early Neolithic Central Europe.
I think it puts the invasion in another perspective. Maybe it changes your mind on Eulau too.
The IE invasions were not violent invasions in peacefull societies.
The societies invaded were often as violent and as male-centered elitarian as the IE themselves.
As I pointed out before it was a worldwide phenomenon.
And yes, it were probably the societies who were best organised and focused on violence who survived in this period of reduced Y-DNA diversity.
I must say I have the impression the IE were not only good in organised violence, it seems to me they were also good at adopting new technologies and embracing customs of other societies.
They adopted the Bell Beaker styles and they continued the Stonehenge traditions.
I believe it was already like that in the paleolithic.
A good example might be the 45,4 ka expansion of haplogroup K :
https://www.yfull.com/tree/K/
They must have replaced and expelled a good deal of other clades (including the Neanderthals).
That is how in a very short time (50-40 ka) modern humans conquered the whole of Eurasia and replaced all other archaic humans.
There may have been more expulsion and less replacement at that time, because 50 ka modern humans occupied just very small parts of Eurasia - there were still many lands left to flee to.
It is new technologies since 10 ka that broke the balances again,and the world was allready much more densely populated. And we know most about the last replacements, because many traces of the earlier replacements that started 10 ka are vanished.