The 30 Amp rating you see online comes from the National Electricians Code. This code is generally referring to single strand copper wire that you would find in your house. The rating is also determined for a certain length of wire too. I forget what that length is but I'm pretty sure its a lot longer than what we use in the hobby. We also dont use single strand wire either. Other things also affect the rating like the type of insulation the wire has. The ampacity of a wire with insulation that has a max temp of 90C will be much lower than the ampacity of a wire with insulation that has a max temp of 200C. A lot of other facotrs play a part too like temperature and length of the wire. a 6 inch piece of wire will have a much high ampacity than 10 ft of the same wire. Another factor is the amount of time that wire will be transferring that amp load.
As for LiPos the C ratings on them are grossly over rated. The True C rating of a LiPo tops out at about 45C for the best quality batteries on the planet. I think the highest true C rating I've ever personally seen on a typical RC hobby grade LiPo is 35.6C and that was on a $150 No Prep Max Amps pack. And even though that means that No Prep pack can deliver 178A its never going to do that continuously. Even in a big 1/8 scale monster truck your typical amp load is probably fluctuating around maybe 40-70A and may have momentary spikes of 100+A.
Hope that sheds some light on it for you.