My $0.02 ... from an engineering perspective.

IMO, securing the toilet only with the two bolts to the flange is a poor design. A better design would securely connect the toilet to the waste plumbing, and the toilet would also be securely fastened to the floor -- each connection independent of the other.

One just needs to look at loose toilets and rotten subfloors reported all across the country to see that the current design could use some improvement.