The one discussion that I am aware of from about 10 years ago was over the importance of repairing the joint capsule. At that time the importance was just being discovered, so not everyone had been doing it. I think that today it is common, but might be something you could ask about.
The other place that I am aware of differences is in how the skin is closed. Some use stitches, some like Dr Gross use a type of glue that avoids leaving any skin penetrations on the surface that could allow infection to transport in, and some use staples which some studies show a slightly higher risk of infection. Many would argue that the type of skin closure is not important, and would show no difference after a few weeks.
As far as muscle and tendon repair, many of these high volume surgeons have posted videos of their surgeries online, so that would be an excellent source of informant for you in terms of these internal soft tissue repair techniques.