Short answer to both of these questions is that, no, Sony haven't done anything of the sort.
That thing you can see on your PS4 is just an advert, so don't sweat it. Obviously, Sony aren't going to be giving games away for free, and you can assume that they understand how jumpy gamers are, so they wouldn't want to anger them by making them have a game they didn't want or have the memory space for.
Basically, in that horizontal information bar, Sony have whacked an advert for Destiny in it, which might annoy you if you're anti-adverts, but you can opt-out of those too if you want.
If you don't like these ads - which Sony have been mercifully tasteful with thus far - you go to your PlayStation 4 Settings, click System, then Automatic Downloads, and there, you should untick the Featured Content box. That means no more ads, which are uniformly 'opt-in' as standard.
There's a similar thing with Microsoft's Xbox One, which has a 'What's New' section. Either way, if the appearance of Destiny on your PS4 has bugged you, you now know what you need to do, to get rid.