You can read it either way but your way means that NuTranswarp beaming is different from TNG transwarp beaming (short range beaming to or from ships at warp). That's not a plot hole but it is yet another inconsistency.
I tend to see it as an issue of potentially conflicting terminology/nomenclature.
Yes, there's no doubt that the TNG term 'transwarp beaming' was used to refer to standard transporters beaming onto and/or off an object travelling at warp speed. Given that Spock Prime is from that universe, he should really have got the terminology correct though. Mind you, given the incongruities with black holes and the supernova recycling the term transwarp beaming seems like a minor transgression.
Actually, the plot would make a bit more (but not complete) sense and be more consistent with established Trek if:
1. Scotty was using subspace beaming (a long-distance method still unsafe at the time of TNG) modified by an algorithm to make transwarp beaming possible (albeit incredibly dangerous).
2. Nero can cloak but his cloak was damaged in the fight at Vulcan thus he travels to Earth slowly to give him time to repair it while also interrogating Pike just in case he can't.
3. Nero approaches Earth while cloaked thus preventing the Feds from fighting him or beaming anybody on board his ship until he uncloaks. He would be able to disable Earth's automated defences (assuming the Feds are so incompetent that they have no back up plan to pre-fix codes) while cloaked. The Enterprise was waiting for the Narada to uncloak and is thus ready to pounce. This explains why no other ships have the chance to attack him on approach.
This is tenuous in some ways though as Nero would have to uncloak to unleash the drill and the ships protecting the Earth should then engage him; was he attacked by any other vessels? Surely somebody thought to warn Earth (escaping Vulcans, Keenser, or the Enterprise) of Nero's approach so its defences should also be primed and ready, waiting for Nero to appear? Plus if Enterprise is hiding behind Titan in a sensor blind spot, the only way she would know that Nero has uncloaked would be via Fed communications, which would give them very little time to beam on board before drill activation - this is exactly how the strategy plays out on screen but it looks like a hugely risky strategy.
OR
Nero was unable to repair his cloak and approached with shields up, destroying/disabling ships and defences off camera on approach. Since Scotty has modified the Enterprise's transporters to sub-space beaming, only the Enterprise can beam anybody on board through the shields and only before the drill activates.
This has tenuous logic too but if Nero was unable to detect Enterprise due to Titan logic dictates that they would be unable to detect him. Their first clue would be the chatter (most likely from Mars) when the Narada is first detected. However, if Nero is approaching openly, the Enterprise should have plenty of time to beam more than just Kirk and Spock on board in this scenario. Several armed landing parties would have made much more sense but for that matter so would keeping a primed sub-space transporter on every TNG ship for emergency boarding parties).