I think the problem here is not just the question whether this tech is less or more magical than any other Trek tech - the problem is that it just isn't good story-telling to allow such über-tech.
(And, yes, inventing an easy method for time travel and forgetting about it next week wasn't good story-telling, either. Just because Trek writers were lazy decades ago doesn't mean they need to keep being lazy today.)
I could accept the transwarp beaming of ST09: it could be explained as still being somewhat "short-distance", they could have hacked into internal sensors for greater precision and even then, there was some targeting error being shown. All of that was not the case with STID's transwarp beaming - and to add insult to injury, there wasn't even a good internal motivation for Harrison to beam to Qo'noS. The only motivation seems to be external - he needs to end up there so that Admiral Robocop can continue his plans of provoking war with the Klingons.
At times, it seems as if the script for this movie was written backwards: at some point, the characters need to be at some location - so an earlier scene brings them into position, whether there's probable motivation for them to act that way or not. This is lazy storytelling, and magical long-range transporters are just one of many products of that.