No argument here. What I am saying is if Becky wants to achieve the improvements of Andy or Diana (or Tim... he might've been successful too he just didn't answer the question!), she will need a process that supports the program. The performance improvement rests on the back of a successfully implemented process. This can be intuitive or explicit, but it still exists. Process goals make successful implementation explicit, which is helpful for folks who do not do this "naturally." This exists with strength training, or with diet, or with budgeting, or with any number of things.I always talk about recovery. I think it's a clear term which helps people understand how things outside the gym influence their strength development. And in turn may make it more clear how it all also influences life in general.
But I'm talking about strength training.
Consider Andy, Tim, Diana and Becky talking about deadlifts. Becky wants to get a better deadlift and asks her friends how good their programs were. Andy says PTTP increased his deadlift from 315 to 405 in three months. Diana says Conjugate for beginners got hers from 225 to 275 in two months. Tim said that Starting Strength really taught him to go to bed in time, never later than 11 PM.
Process goals specific to strength training could be hitting a number of sessions a week, or a month - or increasing consistency, or (back to the original diversion) completing a program. But yes, a lot of process goals around strength training facilitate the training to occur productively and consistently which is important to actually improving.
I think we're going in circles so perhaps I'm not communicating well, or perhaps there isn't an agreement to be had. I don't think we disagree on the fundamentals - that training should make you better at something and that is determined by a performance metric, and that there are things that are done outside of training that can set someone up for success.