Yes, actually, it is just that easy.
Now though, you have to deal with the adjustments that are available on that chassis. There are more than a few and it can be a little daunting to figure out what to adjust and how to really get the gun to fit you and allow a natural position. Gets even more complex if you mix up the positions for prone vs barricade vs standing.
1/4" one way or another of a couple of degrees of angle on the butt pad can make a huge difference in your comfort behind the gun and thus your shooting.
A chassis isn't going to make a damn bit of difference in the accuracy of your gun as compared to a properly bedded stock that already fits you.
That said, a good chassis can be the magic difference in your shooting once you get it right. The gun I am most consistent with has a custom action, custom trigger, custom bbl, a very nice scope and all of that sitting in an AIAX (older model) folder. It has been adjusted multiple times and I have made little shims so that I can return to my adjustments should I wish to experiment.
Oh yeah, a dope card that you can depend on and ammo that repeats are actually far more important, but you probably already know that.