Totally admire her playing, great job at that age. The reason I think some of us aren't going "wow, what a prodigy, I could never play like that now much less then" is because it simply isn't true. Many players who develop these types of shred skills develop them early on, I know I did as a teenager in the first few years of playing guitar, and I was far from alone and certainly not a prodigy. It isn't like you have to play for 20 years and then figure out how to sweep. It really is the finesse thats takes you to another level, like that killer vibrato, improvisational mastery, stretching beyond the basic scale structures, etc.
So it's still great work, jamming Petrucci at 14 is awesome and definitely puts her up there as a player. A child prodigy to me would be bringing say Govan (or comparable) level improv skills, and we're all scratching our heads like "how the hell can that kid already play that"? But that's an exceedingly rare player.
My "technique thesis" aside, I love these clips for what they are. These are kids in this electronic music day and age really playing their instruments, showing some awesome chops and going down a great path.
