I don't have personal experience of going to court to gain access to GC but from what I've read, and know from my brother who was a family solicitor and worked on these cases, that it is not an easy route. As far as I'm aware the success rate is low.
As has been said here already, it could be the final nail in the coffin of the GP's relationship with their AC if that's the route GP's choose to take.
It's also been said here that in all probability GP's have taken that into account, and not believing that a reconciliation will ever be a realistic possibility, feel they have no other choice.
It must be a frightening prospect for EAC who had an abusive childhood to even contemplate the possibility that those who abused them, could be allowed a relationship with their children who could then be at risk.
For GP's who have lost their children because of problems with their relationship with their AC, that too is a frightening and heart breaking prospect.
It is of course, not in the interests of a child to be forced into a relationship with GP's who have the potential to do them harm. It is not in the interests of a child to have the GP's they know and love, removed from their lives because of issues their parents have with their GP's.
When an abusive childhood is not an issue, it is as you've posted Nonnie and as I've already said, the responsibility of all the adults concerned to make it work.
The parents should not make their children feel guilty and uncomfortable for the time they spend with their GP's. They should not make their personal animosity toward their parents known to their children, which could make the children wary of seeing their GP's.
Likewise, the GP's should not allow their GC to be aware of any animosity they feel toward their AC; this is about the children.
Any GP going to court needs to prove they have an established relationship with their GC and it is the withdrawal of that relationship, a decision which the child has no say in, that is the issue here.
The courts require the parents and GP's to have mediation and it is at this initial stage that the need for the case to go to court can be avoided, if all concerned take a sensible and mature approach to the situation, putting the interests of the children above their own personal grievances.
If mediation fails to reach an agreement, GP's then have to apply to court for permission to take their case to court. If that is refused, the case never gets to court.
There are cases where the court has granted access to the GP's and the parents ensure the children are rarely, if ever available for that pre arranged time. GP's then have to go back to court in order to have the original order enforced.
A lot of unnecessary stress and upset can be avoided for all concerned but only if everyone works together for the benefit of the children.