If Oklahoma Hills was already in distribution under cousin Jack Guthrie's Capitol Records recording contract, the only way for Woody to share in the future royalties was to co-sign a revised Capitol Records contract. And it's unlikely any 1940s major American record label or publishing house would agree to a one song/one shot deal unless it was a monster-mega-hit. Oklahoma Hills was not. If Woody didn't sign on the dotted line, they'd just cut their losses, bin it and move on.

I suspect Jack Guthrie's original recording contract is how Mickey Goldsen (1912-2011) became associated with many of Woody Guthrie's other songs.

Much of what you're hearing in terms of country/western/swing genre is the team of Mercer, Goldsen & Snyder.