My whole family has hypermobility issues. When I was child, this was unheard off. I was considered a very flexible child. I could still get down in splits when I was in my sixties and a coach/coaching tutor in gymnastics.
Flexibility which is taught over a long period is fine. What used to be called 'double jointed' (meaning flexible) can be difficult to cope with. (Real double jointedness can be a very disabling condition as joint do not lock properly.
Hypermobility can be a difficult condition causing all sorts of problems including digestive ones.
When a parent brought their child to me, saying they would be wonderful gymnast as they were 'double-jointed', I would have to disillusion them. Where there was hypermobility great care had to be taken to ensure that injuries were not caused to that child in using gymnastic apparatus.
Of the three main items required by a gymnasts Courage is the one that cannot be taught - a person either has this or not. Strength and Mobility should both be taught very gently, very slowly over many years.