I have not heard this demand from a Joint Commissions surveyor.
I suspect that it may be that the facility either has a statement in their policy that makes similar statement, or they do not have a written policy, and the surveyor is defaulting to the statement in the ASSE 6000 document.
As stated by the other responses, there is not a requirement for frequency of testing, only that they need to write a policy that identifies how often they will be tested.