Great, so what do they use those addresses for? Do they send/receive any bitcoin to it? Nope.
No harm in giving them the option though.
You're not using the blockchain in any way, as you have already admitted, so what does this thing have to do with cryptocurrencies?
There would be no advantage to logging hits in the blockchain, you would still end up maintaining a database only you're needlessly impacting the blockchain now.
so why would they use your service?
We can discover the answer to that question by providing it in the first place

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