It's their servers sure, but if you download something under a license that doesn't grant you ownership, then it isn't yours.
You are being granted a license to use the data.
"but if you download something under a license that doesn't grant you ownership, then it isn't yours."
Possession is 9/10 of the law - if you have a copy, you have possession, and thus you have SOMETHING and LEGALLY it is considered yours (now whether you legally obtained it is a different story and THAT is where charges stem from.)
Yes, exactly, if you ignore all definitions of "yours" that involve possession then it isn't "yours".
But no one else is obligated to ignore the definitions of words that you're choosing to ignore, so the rest of us will go on saying it's their data.