You are pretty much right; at first you will develop basic general fitness qualities (such as strength, speed, endurance, mobility, suppleness, etc.) via explosive med ball throws, alactic sprints, reactive/elastic jumps, tempo runs, abdominal work, calisthenics, etc. But it shouldn’t be the ‘minimal’; herein lies the expertise of the coach to decide when each individual athlete has reached the objective of each training means; again it isn’t going to be ‘minimal’, it is going to be the amount that is needed in order to produce optimal results in the specific sport discipline; furthermore to make something minimal, you would have to have a maximum and their is no explicit amount of any training mean that governs how much an athlete should or should not do; training is an organic process, it isn’t mechanistic, EVERY athlete adapts to stimuli differently, the coach much have a keen eye to decide when enough is enough, which is why Charlie was so successful.
As the the years go by and the athlete moves further to the right on the specialization continuum, the more specific the means become, and their is always an organic/feedback process of programming going on designed to fit the athletes strengths while developing AND perfecting all of the requisite qualities needed to excel in sprinting; ergo the start, acceleration, top speed, and speed endurance (and special endurance in the 200m on).
Order Key Concepts and CFTS and you will understand this straight from the horse’s mouth.
You don’t need to look at in which fiber type will be developed. The objective is to develop an appropriate somatotype for sprinting (and again this will be individual, think Ben Johnson vs. Carl Lewis and Asafa Powell vs. Usain Bolt, one shorter and more muscular, then other taller and lankier) so let the means fall into place by monitoring the progress of your overarching objective.
‘Explosive’ training (ergo the sprints, jumps, and throws) will facilitate myofibular hypertrophy (vs. sacroplasmic hypertrophy, which is the non-contractile constituents of the muscle), which will increase the cross-section of the contractile components of the sarcomere (actin and myosin); again you need not get wrapped up in that thought process.
Think objectively (again the big objective is to excel in sprinting); I need to achieve cross-section in my upper torso -> I am 14 years old -> select age appropriate means (body-weight calisthenics) -> monitor the progress of this objective -> objective has been achieved -> decide on new objective and restart process.
Final thought, don’t look at training in separate parts, view it as an entire system of inter-related parts that function as a whole and have varying degrees of affect that cause certain effects on the organism.