So if I softmod my wii, does it mean I can play burnt wii games?
Yes. If you softmod your wii, then you can play burned games. But only if you follow the 3.1 to 4.1 tutorial dogeggs made, or if you have 4.2 installed you must follow the 4.2 tutorial messie made.
And there's a chance that you have a new d3-2 chip installed in your wii, what prevents you from loading a burned disc. But then you can install an USB backup loader with this tutorial from gen3sf. (Only if you already softmodded your wii.)