Bobsanchez, Here are a few thoughts for discussion:
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The general work you mention may indeed increase the height of the competitve result, however, to what degree does this take place with higher level athletes? From Charlie’s model, we know that as training age increases, time spent on GPP decreases, so it becomes less emphasised. The GPP done as a beginner may allow skills to be more easily learnt and developed, decrease muscle imbalances etc along with many other benefits, but does GPP help to the same degree as an advanced athlete?
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Regarding higher volume, I guess this is like when people in the gym ask “is doing more sets better?” Well yes, it has been documented that multiple sets are often superior to single sets, however, training gains are likely to increase up until a point and then you will eventually hit diminishing returns. So yes more volume of GPP may be appropriate for some athletes, however this is up to a point.
Sorry I can’t specifically answer your question, I’m not an expert but I’ve tried to provide some points for discussion.