lambdas do NOT create a new scope, they share the same scope as the enclosing block/environment
I'm not sure what your point is with this quote.
There are no runtime benefits of using lambda expressions
Relative to what? Lambdas may perform better than anonymous classes, but neither will outperform simple control flow statements.
one more benefit lambda expressions Sequential and Parallel Execution Support by passing behavior in methods
Streams and lambdas enable declarative programming, which makes parallelization more accessible. So using lambdas may indirectly improve performance.