I never thought that the warp jumps between Earth and Vulcan and other locations were that quick, only that the movies chose to show little or no narrative between the warp jump and the arrival sequence. I don't for a moment believe that the Kelvin Timeline Enterprise got to Vulcan that quickly but J.J. simply chose to ramp up the drama and the action by not showing us the gap in time between the ship leaving Earth and arriving at Vulcan.
Indeed, story logic actually demands that some time passes during that trip - Kirk has to sleep off his medication, McCoy has to get a change of clothes, all the amateurs have to get familiarized with their new positions enough to keep the ship running without blatant onscreen on-the-run tutoring going on.
It's not that bit of the Abrams movies that features dubious "jumping" - it is ST:ID and the trip from Klingon space back to Earth, explicitly taking only as long as it takes for Carol Marcus to run the length of the ship (and that's generously assuming she was too stupid to operate a turbolift). The thing about the trip from Earth to Klingon space is more subtle, with Scotty at one point remarking the whole thing happened within a single day; the return trip is blatant and places story logic demands of the opposite sort to the 2009 ones.
Even Discovery seemed to be taking the normal amount of in-universe time to travel from Earth to Vulcan in the Season 1 cliffhanger before she received the distress call from the Enterprise.
DSC normal-warp travel wasn't "jumping", certainly. There are a few contradictions with previously established speeds and distances, though - mainly the Talos vs. SB 11 affair. But that's fine detail on an issue that was already muddy back in TOS.
Timo Saloniemi