That's not accurate.
Popularity of a feature and enterprise demand drive it's adoption.
It doesn't really matter what the language team knows, it matters what the average developer knows since their collective wants are in large part what drives the language team.
There are hundreds of thousands of Java devs who only ever wrote Java and suddenly had to write Kotlin, and are now clambering for these feature improvements in Java.
2. Java addresses those topics (where relevant) pretty much in the opposite way from Kotlin. Java rejected coroutines and is going down a completely different path with virtual threads; Java rejected data classes and chose to go down algebraic data types. So if you think Java gets inspiration from Kotlin, then it is in the form of what not to do.
If anything, the acceptance of more parts of the FP paradigm into all major languages (like C#, JS/TS, C++) starting with lambdas likely have pushed Java, but to single out the all-around very niche Kotlin language as a source is imo a non sequitur.