I think this might be a case of a SEN parent forgetting that non-sen parents have very different experiences, so can't fill in the gaps as well as someone with sen experience would. (I do it as well when i talk about my dc)
I read it as the child was disregulated and engaging in unsafe behaviour, that a carer would need to prevent, re-direct or co-regulate (things like hitting self / climbing / running at walls / eating non-food). As a parent-carer the op probably stops this type of behaviour on a daily basis, but the child's farther did no step in to meet the care needs.
Contact supervision doesn't usually involve care, they are just there to watch the parent meeting the care needs. If the farther didn't act to meet the care needs and keep the child safe, the staff would have to step in, which they seem to have, but them proving care is against their policy so they want to avoid the situation repeating.
I would have thought it would go back to caught, as the current order cannot be safely followed. Perhaps you could request the other parent attend some SEN parenting causes alongside indirect contact (letters or vidio calls), with a view to re-establish face to face supervised contact once the other parent has the skills to meet the child's needs.
As they haven't bothered with their child in 4.5 years, and don't seem to have put much effort into contact, I imagine they won't actually do the courses. The novelty of parenting will probably wear off once it's no longer a way to control you (you haven't slept in three days, have to keep days free & wait outside contact centre, deal with a disregulated child before and after & mention them regularly to 'suport the relationship')