Horribly misguided and ignorant, but not uncommon.
As far as gameshape and minutes, I personally sense a trend that some players are just easier to keep in high GS, some need more minutes than others. Haven't gotten the feeling yet that the distribution of total minutes between games matters, or that the possible preference a player has for total minutes depends on stamina.
But, these are all anecdotal impressions, and as such have no statistical power to infer the truth.