My first gun was a Chinese SKS I purchased a year ago. I went on a pretty big "Just got my PAL, now I must shoooooooooooooooooooot" spending spree and put nearly seven thousand rounds through the thing up till now.
Not only has it not malfunctioned despite me doing my best to make it stop working, accuracy has not changed since I got it. I wasn't much of a great shot when I first got my PAL and I handed the rifle to my buddy who between his Army service and his private gun ownership, is quite the marksman, and I remembered his groups. Now, I'm as good as he is (with an SKS at least) and the groups this rifle is capable of after seven K rounds of pure shooting with no break in or anything have not changed one bit. It still puts them in the same place and the rifling is as strong as ever.
For a $199 rifle that won't jam in -30 winters with ice and mud in the action while still shooting as good as the day I bought it, I am beyond pleased with the SKS series of rifles.
So pleased, I now have six of them.
I wouldn't worry about barrel break in on an SKS, just buy crates of ammo and blast away!