This is why music (modern music, at least) is notated. So the player can read and play it. Maybe in the ancient days of music, people learned a piece by listening to someone else play it, but that's not needed if you have the music.
When my students ask me to play it so they know how it sounds, I push back and tell them to play the music, and then they will know how it sounds. Play the right notes, rhythms, dynamics, etc., and it's a done deal! The tune is now learned. Now comes style - another thread completely.
Oh - one HUGE drawback to "trusting" the internet to do your learning for you is that you WILL stumble on someone playing a piece wrong. Like the first youtube example. Boy did he swing those notes!