Wait a bloody minute... if you are calling about iCloud password, wouldn't Apple's tech support automatically suspect why the caller isn't going to iforgot.appl

Wait a bloody minute... if you are calling about iCloud password, wouldn't Apple's tech support automatically suspect why the caller isn't going to iforgot.apple.com instead? I mean it doesn't make sense if the person calling says "Oh I badly need the iCloud password, but I don't have access to a browser". On the other hand, if the person said "yes yes I tried iforgot.apple.com but I can't seem to remember any of my security answers/email address used", then that should naturally raise suspicion in the mind of the Apple tech support person, right??