Two statements related to tangent developables

Question

There are two statements about tangent developables at this website:

1. A space curve is algebraic iff its associated developable also is.
2. The algebraic developable surfaces (other than the cones and cylinders) of lowest degree are of degree 4, and they are the developables associated to the skew cubic curves.

Question:

1. Are these statements true?
2. If these statements are true, are there known proofs of these statements?