i'm not great at sounds, especially when i can't be there in person.
it does sound like the valvetrain, but the VVT actuator has nothing to do with anything like that. even if the actuator stopped working, it would sound the same as it would just not rotate the cams accordingly any longer. the pin/oil assembly within the actuator i can't imagine would ever get that loud.
how does the car drive, if at all? i would do a leakdown test as my thought is a valve, but again, i'm not good with troubleshooting sounds, but figured i'd toss in my two cents.