No, in sm58 i dont see any entries, its blank, and SMQA i have no authorizations to open it.
In sm50 though, i can see the 1 entry with sy-batch and in process and other is the BO program, where i've kept a break point.
for the second part of your question, when i call the BAPI, from a program, it calls the BAPI, creates a new user and gets back the return structure, which i can see has status, but when I'am doing this in method of business object, it's not happening.
I also tried keeping a external break point in other system(target), but that doesn't gets triggered.
Do we have any mechanism where we can call a bapi if the system is on for taking calls, like we do in subroutines e.g. PERFORM per IN PROGRAM IF FOUND.