When Product A is Added to a Primary Quote, sales reps can view the Quote...

 Cause Analysis:

Hidden = TRUE: Products marked as hidden do not appear in the Opportunity Line Item after saving the Quote.

Component = TRUE: Products flagged as components are part of a bundle and are not directly added as standalone Opportunity Line Items.

 Key Settings:

These configurations are commonly used for internal or auxiliary products within a bundle or restricted products.

 Salesforce CPQ Reference:

The behavior is explained under Product Configuration and Quote Mapping ​.