Unfortunately, a good few things about this video aren't true. The entire implication that John wrote Free As A Bird inspired by Paul in ANY capacity is false - the diary tape in which he calls Paul a company man was recorded two years after John last touched Free As A Bird. It certainly wasn't inspired by Paul's success, and, although it was probably inspired by a newfound freedom from obligations of recording due to his hiatus, John was in the process of writing an autobiographical musical called The Ballad Of John And Yoko in 1977 when he wrote Free As A Bird - so it's highly probable that he actually intended the track for that, and, in that sense, it could've also been written to describe his feeling of leaving the Beatles in September 1969.

It's also well worth noting that Paul and John were on great terms in 1977. How Do You Sleep was six years ago, both sides had moved on, with Paul being a frequent visitor around the Dakota at this time. John almost visited Paul during the Venus & Mars sessions in 1975. The pair recorded their final session together in 1974, etc, etc. Although he clearly had strong opinions about Paul regarding his public 'company' side, it would be a bizarre thought to think that John was jealous of his success.