At least they paid attention to the detail that Adam's alter ego is kept secret, because Skelletor and friends thought Adam and He-Man are two seperate people.
But remember in the He-Man/She-Ra crossover (not the
Christmas Special where Skelletor was engulfed with the holiday spirit, the
Secret of the Sword) Adam didn't turn into He-Man (even in a bar fight scene) until Hordak's goons attack the village in Etheria (where the She-Ra series take place).
Speaking of She-Ra, if they brought back the He-Man series, when are we gonna see Adam's sis Adora back in action?