Whoever is stronger is up for interpretation. It's a broad term. Probably should have said it differently, but I think it helped my point get across.
Yeah. However, I would disagree with the idea that the basic neuromuscular adaptations to lifting don't carry over to real world strength and athletic performance though. They definitely do, along with the increases in work capacity in each training session and recovery between sessions and ability to tolerate a higher frequency of training.
The more focused your training is, the more specifically the body will adapt. Athletes, beyond the beginner stage, should definitely be working with both volume and intensity in a good variety of exercises, and ALWAYS make sure that progress in their actual even takes priority over the plates on the bar. No point focusing on lifting more and just getting better at lifting.