Your use of 'this' for people is indeed normal for introductions. We do not refer to people directly as 'it'- but if you asked who was the duty officer, I could say 'It's Jones tonight' ,but there the reference is to 'duty officer' not Jones. There's also Who's that?
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Anonymousyes, this is Mr. Me speaking, I'm the lead detective investigating this caseIt's quite normal over the phone. It's commonly used face-to-face too, but I'd avoid it when trying to make a great impression.
Anonymouswould using "it" to refer to a person be offensive?Yes, it would. It would also be unnatural.
Anonymous if you write 'I would say', you imply you do notI might believe this for "I would have said", but not for "I would say"!