They are training your employees?
If these items are not "intended for incorporation into the organization's own products and services" then I wouldn't say they were a "critical supplier". Yes, they may provide services that you deem critical to the safety of your employees, but according to ISO 9001/AS9100, they are not critical to your end product or service.
As I asked before, are there other suppliers you could look at? Can you get training provided through another company?