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Well there have been plenty of examples of pure boxers/kickboxers getting owned by anyone with any grappling skill. Ray Mercer knocked someone out who didn't try to take him down, which proves nothing. It's common knowledge by now that pure grappling > pure striking. It's not subjective
There really haven't been that many examples. I am looking at it more from a scientific standpoint. There would need to be large number of controlled samples to prove such a claim. That is in part how statistics and probability work.
Common knowledge is often flawed and in some cases inaccurate so that is why it is important to be critical of it. There also haven't been many high end boxers and almost no high end boxers anywhere near their prime attempt mma. This makes it hard to make such a conclusion. We just have a theoretical interpretation. There have been BJJ black belts, olympic medalists in judo and wrestling and NCAA champion wrestlers who were close to their prime compete in mma. Almost all boxers where no where close to being the best in the sport or they were well out of their prime.
The key thing is that if a real study was performed with hundreds of trials it may turn out that a pure grappler beats a pure boxer 60% or the time or maybe 55% of the time. That would still prove your point but it could at least theoretically be a lot closer than the assumption.