One time pads just push the problem to the random number generator (which has to be 100% perfect, free from correlations and bias). How exactly does one prove that their hardware RNG is uncorreleated? e.g. what you thought was RF noise could actually contain the theme tune to Barney the dinosaur. The most provable way we have to generate random numbers of the quality necessary is to generate them using... cryptographic ciphers.
Hardware random number generators poof of correctness comes from... physics.
Unless there is some fundamental hole in our understanding of physics, including thermodynamics and quantum mechanics, HRNG are the best source.
Using cryptographic ciphers for pseudorandom functions can be catastrophic, as seeding them correctly is a problem. (You still need some entropy from outside for seeding)
Of course, using one time pads is not really practical either.
Quote "Claude Shannon proved, using information theory considerations, that the one-time pad has a property he termed perfect secrecy"