Yes, by multiplying the individual throughput yields at each step, one can obtain the overall, rolled throughput yield.
For example, in primary source verification industry, the customer is only concerned with the end result whether the report of his applicant is Positive or Negative. The detailed report contains other important information as well like "who" was contacted to obtain the verification from certificate issuing authority.
Now let's say that the person responsible to authenticate verification of an applicant is HR of the company however person got the document authenticated from company's senior manager which in this case is not the right person.
In order to make sure that verification process step yield is correct, we introduce a quality check stage post verification stage who is responsible to check whether verification conducted is as per the required standard otherwise re-verification is required to be conducted by that same verification performer.
Customer is not concerned with the number of quality rejects or rework done. Customer is concerned with the end product i.e. final verification status (Positive or Negative). Hence all the quality rejects and rework is "hidden factory" to the customer.
To customer yield is final status (Positive or Negative) ("what goes out the door") but if we take into account all the rework done to correct the defects then overall yield is less than 100 percent ("hidden factory").
Hence number of quality rejects will decrease the verification process step yield and thus overall rolling throughput yield and help to calculate the "hidden factory".