Like all predictions about future technology, Star Trek was both right and way off.
Padds are almost used like portable storage devices. Want to give someone a book? Load it onto a padd for them.
Engineering - Apple iPad
Security - GNU/Hurd Mobile Flatscreen
Medical - MS Surface TNG
10 Front - Samsung FuchsiaPad
And none of them are interoperable. Did you really think they would solve that in the future?
Never forget Voyager, where Torres could invent a brand new method of transporter lock and implement it on-the-fly all through a console on the bridge, but even the bio-neural gel packs weren’t smart enough to get a power requisition down to the bottom decks without someone putting it into a padd and physically walking it down there.