And this seems like a situation described in the text. -- But then the problem is not having the shared experience.

I tend to think of language as a symbolic system to denote/share/communicate these experiences with other brains. Ofcourse, there's the inherent challenge of seldom two experiences are same.(Even if it is an experiment on electrons). It's one of the reason, one of my sci-fi favourite scenario is brain-brain interfaces, that figure some way to interpret and transfer the empirical heuristic rules about a probability distribution(of any given event) one person has to another. Or may be am just being too idealistic about people always having such heuristics in their heads. (even if they are not aware of it) . :-)