It is my understanding that You Tube videos are free to download by anyone.
They all provide links for 'embedding' and if you want to make that even more fancy just click on the blue Customise right next to the 'embed' code...
I noticed >THIS<
video when I was watching the Placido Domingo one that you posted - it is Adriano Celentano, one of the most famous singer songwriters that Italy has... He's getting on a bit now - but I love his gruff voice and the fact that he is Milanese - despite this song about Montalto Uffugo!!!