Recently I've been feeling rather concerned, as to transfer now you need to give the your full name on the account for the transfer to go through [...]
Personally, no, I wouldn't be worried. If the money never came through, block him and don't engage with him further. I wouldn't give this any further thought. However, others might tell you differently. What I will suggest is to protect yourself, if any social media in your real name is unlocked, lock it down for a month or so. His interest will have waned by then.
If you're taking deposits for outcalls, ask for a voucher instead of a bank transfer as that is 100% anonymous. I sometimes use Cash App, my details are all hidden and the client does not see my real name. However, not everyone uses it and I have had a few issues with it, in these instances, it's a voucher (as a deposit) up front and the rest in cash on arrival.
As for people turning up with no cash and insisting on transfers, show them the door. Be firm. Set boundaries! Be sure to make it clear that you only accept cash and anyone turning up without it will be told to leave.
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