I have experience of how criminal record checks were introduced by The Football Association. There is a cost per check but for volunteers it is a fraction of the full cost. I would have to look it up but I think it's about £12.
Many volunteer coaches left the game rather than have their old criminal convictions revealed and many more are rejected every year.
The big challenge is how the check is managed by the organisation. You need people who are authorised to check identity documents and confirm the person's ID on the authority's website. So a lot of local elders would have to register to take that on.
The person applying for the check then fills in an online form including previous addresses and any other names they have been known as. For working with children an "enhanced" check is required which also looks into local police intelligence and would include any ongoing investigation.
The Authority then contacts the FA to simply say there is nothing to report or that there are recorded offenses. In the latter case a record of what was revealed is sent to the individual. Notice is given to the FA that there are issues but with no details. This is a requirement of Data Protection. The FA then inform the individual that they have so many days to share the certificate with the FA child protection department or accept permanent suspension from football. If/when the person sends their report to the FA experienced child welfare officers make a decision on whether they are fit to work with children. If for example it was a drunk and disorderly offense years ago then the FA would simply inform the local club that the individual is cleared to work as a youth coach. If they decide the person should not be working with children then the club is informed of that fact but with no specific information.
So here is my concern. If they are forced to get criminal checks for all elders, who is going to get to see the results and make the decisions? You could end up with foxes guarding the hen house.
In short it would be a nightmare for the cult. No wonder they are refusing to cooperate.