Adding volume directly improves your cardiovascular physiology in ways that causally improve your performance and has been the bedrock of endurance training for decades across sports.
It's the most reliable way of improving performance to the point that increasing Zone 2 volume alone can drive huge performance improvements at sub-elite paces, much more than the 4% we're seeing from these shoes.
Adding ten miles will absolutely increase respiration and mental resilience, because every minute added taxes those faculties, and time on feet is a huge part of conditioning your lower legs to handle the volumes of really long distances. You can be cardiovascularly advanced but have trouble with longer distances without specific training, but training for marathons often improves your performance at every shorter aerobic distance.
If you want to improve physical strength, do strength training. Shoes won't do it for you.