Sure you can do that as well, a lot simpler than my method!
Only thing is, that that way you can only change the speed of the noise change by changing the length of the loop. (Please correct me if I’m wrong!)
With my set-up, which isn’t perfect, you can simply add another Multiply Node just before the W (Time) of your main Noise (the 4D one, not the one that distorts the Sine wave) to speed up (>1) or slow down the noise.