Cochise, I can figure out two differences:
1. Sensibility
2. Report hability
Both programs react different, ashQuick.exe, for instance, cannot be configurated to scan other packers than ZIP and ARJ. Home version, on-demmand, could.
ashQuick.exe does not report ‘password’ protected files, you can try…
I think it’s not a matter of correct or incorrect scanning method, but what are you scanning, in which extension (deep), what will be reported to you and so on. 