I don't think that this is something new. I've been getting this message since at least from 2 years back whenever I'm the one that is offering a trade. All this does is contributes to the "verified by" statistics.
It's new for me using SEPA only, only seen this window pop up in the last week (I've been trading for 2 years too). I have now just two active ads for sell offers, one for euro (SEPA) and one for another currency. Regardless of whether I choose to verify, when you release escrow now for buyers taking up your offer via SEPA, that option comes up asking you to select if name matches.
As above, it's only for SEPA, less to do with geographical restrictions. I didn't paste the whole screenshot, which actually starts with a line saying it's the new requirements for SEPA transfers only. Doesn't matter if you're the one creating the ad or you're responding to an ad, as long as you're the Seller, you've to verify SEPA transfers.