I think if you add the word "some" to the start of that quote then it would be more truthful. Also the one airline that i can think of which does only accept integrated low hours candidates, British Airways, is not recruiting ANY low hours candidates at all at the moment. I don't see very much to be gaines from an integrated course at this present time apart from if you prefer a more structured route from start to finish, which some people do.
Also BALPA tends to have a reputation of looking after the interests of the larger, more traditional airlines, which could explain why this outdated statement remains on the website.
Furthermore, why is a BRITISH organisation using the american bastardisation of "favor"????