Makes perfect sense even if the Daily Mail have made it up/got it from a mad tramp. The rights belong to the Premier League who can split them up how they want. If they get a sniff that the internet streaming rights could be worth something you can be you house on the fact they'll try and exploit it.
Think of this, the League make streaming rights separate from live broadcasting rights and sell them separately. Now Sky has to make a decision: I'm sure only 5-10% of Sky customers actually use Sky Go to watch live football (after all, if they've subscribed they're likely to be watching at home) so now the question for Sky is - do they spend another £500 million or so on the streaming rights to try and block Apple/Google or do they risk leaving them. For Apple it could be a great way to get AppleTV into a lot of countries (a lot of Premier League fans are based in Asia these days where internet connections are faaaaast) and not just for football, but for all iTunes content. Think about it: $99 for the box, then $10 for a match, $20/month for all the matches involving one team, $30/month for any match. Add on $5 for HD. Add on $5 for the ability to stream any film/tv shows (if Apple can throw enough money at the studios). Then after 6 months-1 year, remove the subsidisation for the tv/film package and you've now got people hooked on the AppleTV.
Even if Apple don't want to do this they can use the threat of this to get their own way with other content providers (i.e. we could buy the rights to anything we want, so play friendly with us or we'll buy out your most popular content and cut you out all together).