I'm pretty sure invisible UI started very much while Jobs was in power. Hiding the scrollbar, for example.
I think it's quite a myth that Jobs knew good design. Jobs had a fetish for minimalism. For simple, single use, UIs that's often a good choice. I think that's what made iPods and the first generations of iPhones so well designed. But as smartphones have transitioned into being primary use devices with greater abilities, hidden UIs and extreme minimalism because a worse choice.
I think it's quite a myth that Jobs knew good design. Jobs had a fetish for minimalism. For simple, single use, UIs that's often a good choice. I think that's what made iPods and the first generations of iPhones so well designed. But as smartphones have transitioned into being primary use devices with greater abilities, hidden UIs and extreme minimalism because a worse choice.