SAP CRM Product hierarchy,Category和Application的三个问题

All of these three questions are raised regarding the customizing below via tcode COMM_PRAPPLCAT:

Question1: Product search supports “search by category id”.

However, we can assign different categories with same id on different product hierarchies. See example below:

Question 1: the category id search will only touch categories assigned to a specific hierarchy, or will simply touch all categories with id “ZJERRY” regardless of their assigned hierarchies?

We can first check via test.
First I create two products both assigned with category id ZJERRY but with different hierarchies:

And then I search by ZJERRY, both products are found.

Reason is: The category search implementation simply scans the following two tables connected via category guid, but not hierarchy guid.

Question 2: In product creation, we need to specify a base category. Once F4 help is clicked, we see category search popup dialog with search automatically fired.