Sounds a bit like the really old Pitching In A Pinch strategy, which certainly has its merits. Purposely throwing "just off the plate" starts to sound like "nibbling", which is a similar strategy that has fallen into disfavor, at least in TD-land. And a typical pitcher's command/control isn't as fine as we might hope, for that to work. The more you avoid clipping the strike zone, the higher the pitch counts become, which may become an issue - throw enough of the low-stress pitches and it's a question of how much if anything you are saving in terms of wear and tear, because every pitch causes some stress. Getting a swing and a miss outside the strike zone is of course to be desired, but maybe you need to display a bit of your "stuff" to make that happen, and now we're back to wondering about which pitches cause the least stress. If a low-stress pitch has the stuff and gets outs, sure, great.
I suspect the catcher and/or the bench already take your ideas into account when calling the game, and moving too far from their mix would end up counterproductive, not just in terms of game result but also arm health. Throwing 120 pitches per start and wriggling out of jam after jam to eke out 5 innings could be bad for the arm even if most every pitch is nominally "low stress." Of course I'm painting the opposite picture from what you're proposing, but I think it's in the realm of possibility.
Depends on the pitcher.