No, thats not true. The PC must be purchased at that time. Not made.
So for example if I will buy all the componenst and Vista OEM you can upgrade to Win 7 for a really small fee. Some vendors will give that upgrade for free.
The only drawback of OEM is that if you want to replace the motherboard this licence end and is not valid anymore.
You can go around if you will get a confirmation from the seller or repair compnay that the motherboard was faulty and need to be replaced.