As far as being a classical soloist with playing like Karr as your shtick, I doubt it will have more impact in that world than the Edicson Ruizs and Lauren Pierces out there not to mention who is coming up next!
The times are always changing. What was hip one day is outdated the next - but might come back for another round later. Videos on Youtube is what it's about today, not necessarily your performances in the real world.
You mentioned two great younger players that I like listening to very much. So this might be more a "splitting hair" criticism on a high level than anything else, it is not meant to degrade their achievements at all.
A couple of years ago, I talked to a german luthier. He just came from a solo concert Ruiz played in the Berlin Philharmonic concert hall because he built a bass for him. He said it was too bad that you could hear practically nothing in the hall except you sat right in front of him. So we talked about projection and me being a big Karr fan. He mentioned that during the time of his apprenticeship in London he heard Karr play on several occasions and there was never a lack of projection. Karr could always be heard.
And Pierce, for my personal taste, takes all pieces I've seen on Youtube too fast. She shows her brilliant technique that way but I find it suffers in places where I would like to have the line and notes shaped a little more musically. You might not like the way Karr plays, but he always shapes the pieces and makes them his own. (just compare both recordings of Suite No.1)
Again, this is meant with the greatest respect for the players.
Edit: fixed some words (bad English)