I tend to think OP that in some cases sending people on training and background checks can be pointless. I know that it's not the general tenor of the age, but not every role really requires this.
Serving coffee and tea at church isn't more likely to be a risk scenario than attending and drinking the tea, and we don't ask people to train for that! Or working at a place like McDonalds, for example.
My natural inclination is to resist demands for certifications of any kind that don't clearly have an evidence base or which constitute box checking. It ends up shutting people out, who might otherwise be able to participate, and I also think it gets into money making schemes for people delivering the training. The former is important in a church setting IMO, serving tea is something almost any adult can do with very low risk as it's completely public.
All this being said - churches generally can't do much because these demands are driven by insurance companies. They don't actually care about safeguarding, they are looking to find ways to reduce potential liability, and also create grounds for refusing to cover. (It's notable what kinds of organizations they demand jump through these hoops, too. Not McDonald's, that's for sure.)
Personally I think the whole insurance industry needs an overhaul and significant changes to regulation, and a public uprising is totally in order, but that is a bridge too far for most people. (And I am aware that sounds nutty but I have had terrible experiences with insurers over the past 10 years, it's not coming out of nowhere.)
The church won't find insurers with other approaches, so in the end it's whether you feel it's worth taking one for the team or making it a personal protest.