Yes cables make a difference in the quality.
If they're not plugged in, you won't get any quality recordings. If they are, you might.
Seriously--my studio is littered with cables, from $50 mogami's (which I bought just to be my "extra special" recording cables) to $5 & $6 bulk quantity specials.
I don't notice the difference. In fact, I use them interchangeably. You'll find the purists who say I'm crazy, but if there's a clean, solid connection, you're fine with a $7 cable.
Now if you've completely treated your room, have a robust mic locker, and all the pres in the world, sure, worry about your cables. Otherwise, sweat the more important stuff and save some bucks on cables.