I don't think the issue is "valuing the ball." It is not like, Jordan Walker for example, says "ah, the heck with it, I don't care about this thing" and then throws the ball to an opponent. Valuing the ball is another sports cliche that implies every outcome is a matter of will. Ah, you threw an errant pass, you must not value the ball enough!!
Turnovers are about execution, coordination between teammates, and correctly reading passing lanes and "seeing the floor" (as opposed to for example, getting tunnel vision under stress). And the flip side, is that a team wanting to play up tempo has to accept some TOs as a consequence. That is why Kellie often draws a distinction between TOs, where the opponent is taking the ball out of bounds and those that lead to transition buckets; the latter are the ones that really kill you. But, if a coach starts yanking people off the floor everytime they make a bad pass or lose the ball in the lane (so that they learn to "value the ball'), you soon have a team that becomes afraid of making a mistake or taking any chances (i.e. a handcuffed offense).
As a hypothetical, a team playing up tempo might get 20 more possessions per game than one that plays very deliberately and uses most of the shot clock in every half court set. If that up tempo has 10 TOs, they still would have 10 more possessions than the slow-tempo team.