I'm going to go ahead and say untrue - you could maybe make the argument that for the money people drop on a MBP ($2000+) you could get a pretty bomb PC laptop, but not for $1000 I don't think. I'm no computer tech, but Macs are the multimedia standard for a reason.
To the thread creator: I'm tempted to say keep saving - why buy something now when you could maybe get something later that would be much better and much more suited to your needs? You shouldn't skimp on stuff like this; a good, able computer can last for YEARS, so you shouldn't get something you'll be just "okay" with.
That being said, if saving more money is not an option, try finding a used or refurbished MBP - PRO, not MacBook - those suck. You can always upgrade RAM yourself through newegg.com if you have to, and I think they all come with suitable graphics cards for video. I'm pretty sure the 13" is lower resolution than the 15"/17" but if a refurbished/used 13" is all you can find, go for it.
I was in your position not too long ago. I run Premiere, and figured "might as well buy a PC if I'll be using Premiere" - I ended up buying a Mac and I am very, VERY happy with it. It's FAST.
Good luck homie, hope this provided some sort of new perspective on it.