Exactly. They're written by ITF people from an ITF perspective. The suggestion that General Choi was the motivating force behind the unification movement, is, frankly, ridiculous.
The motivating force behind the unification movement was the Korean government saying 'you guys should get together and work out a Korean art, instead of teaching renamed Japanese stuff.' That happened in 1952. Three years before General Choi would found the Oh Do Kwan.
The five orignal Kwan were the Chung Do Kwan, Sung Moo Kwan, Moo Duk Kwan, Jido Kwan and Chang Moo Kwan. General Choi was (if memory serves) a Chung Do Kwan student at the time.
The Han Moo Kwan, Oh Do Kwan (which General Choi had, by then, founded), Kang Duk Kwan and Jung Do Kwan came around later.
The unified art was original called Tae Soo Do, although Tae Kwon Do was also considered and, eventually, adopted.
General Choi didn't like how the unification was being handled, so he left the KTA and founded the ITF. The ITF descended from those who left the KTA with General Choi.
He wasn't the only one, of course. GM Hwang, for example, left even earlier and taught Tang Soo Do Moo Duk Kwan, and then eventually changed the name to Soo Bahk Do Moo Duk Kwan. TSD and SBD schools are descended from students who left the unification with GM Hwang. TKD MDK schools (such as ours) are descended from GM LEE, Kang Ik and those others who stayed with the KTA after GM Hwang left.
Lee Won Kuk was the founder of the Chung Do Kwan, the first Kwan founded after the liberation of Korean from Japanese occupation.
There were many many people involved in the unification efforts, and to my knowledge there is no complete listing. This is understandable, given how many groups and individuals joined and then left, and given that the efforts were pretty effectively derailed by the Korean War.
Doubtful. Like many of the founders, his history is clouded. For example, GM Hwang claimed to have studied Tae Kyon as a child. This is extremely doubtful, given the near-total destruction of Korean culture at that time. His training was primarily Chinese, specifically Kuk Sool. His system was originally called Hwa Soo Do, but this has changed several times, first to Tang Soo Do, then to Tae Soo Do (during the unification), then back to Tang Soo Do, then Soo Bahk Do.
Good luck with that. There are not a lot of good records about the early days. And those that exist do tend to be from very specific viewpoints.
But it's safe to say that no one person can claim to be "the" father of TKD.