Deliberate hexing is in the game for a reason; it's meant to be a useful ability. The game will even charge you Refresh for it, in the form of Mana Static!
Not that anyone actually buys Mana Static, but you know what I mean.
Harry himself often hexes things, in tactical ways. It's definitely a thing in the Dresdenverse! So, yeah, deliberate Hexing, sure.
But the Dresdenverse specifically does not have this sort of "detailed interference" (to quote the OP). "Cannot interact with tech in a controlled or non-destructive way" is one of the in-world limitations on wizards (to the extent that one book hinged on the Bad Guys hiding some info on a USB stick, knowing that few wizards would even understand it, and none of them would be able to use it), and Harry needing to rely on non-wizard allies (and PC wizards needing non-wizard PC's) is a feature, not a bug...
You suggest that it'd lead to more-interesting gameplay, but I fear crossing that line would do the opposite, making "wizard" even more the swiss-army-PC and reducing character variety.