So first things first...you've got to understand that Justin simplifies a lot of songs so that those beginning can play something approximating the original. During the beginners stage this goes on all the way through slowly building to a point where the songs are more complex, more chord variations, more complex strumming etc. If you have the song books then Justin does in may say how you can take it to the next stage. In that video he starts off with the simple variation for the stage i.e. all down strums, then introduces something more complex (hitting the bass note as part of the strumming). The simple variation is what you're aiming for at this stage.
Secondly the tracks you're listening to on Spotify, in particular if it's an original, are going to be in a "band" situation with drums and probably at least two guitars with one playing rhythm and the other some form of lead guitar part OR if it's an acoustic they are probably playing a picked pattern over those chords...all just way to difficult for someone on that this stage.
Think of the songs as reinforcing the lessons being learning and slowly leading to a point when they sound more like them. Even without the complex picking this song sounds okay once you've got better at chord changes and strumming. Learning simple songs like this breaks you out of the pattern of just chord changes and prepares you for learning more complex songs as you progress....give it time