Child is the priority, not the parents
That's true in any case, ever surely?
In this case the parents want to fly him to another palliative team, that will give him a tracheostomy
Main issues for the hospital to consider
1) is the flight going to be traumatic for the child. No certainties how all this will play out when pressures changes in flight
2) the care the other hospital offer, will it improve his life? Arguably no, as they're introducing another area which could be an infection risk (i.e. the tracheostomy).
If alder hey believe that transfer will cause more harm than good, then they shouldn't agree to the transfer.