It is normal only non-KYC users would receive this as they are targeted but that thing that happened a few months ago was probably a change in their system that tags "suspicious" users, they didn't go after all the users who weren't verified but after a few of them, probably based on IP logs, volume, or the used addresses. It's no secret anymore that Binance tracks all of these so probably they've just added a few more requirements to the selection process.
As for the OP question, no I don't think that they will set an even lower limit for such cases, it will probably be the same, the 0.06 was just a stunt to make them look like they are doing something about AML laws, the 0.05 they randomly imposed on users is an internal business of theirs. But long term, I doubt they will allow even a satoshi without KYC in a few years and so will other exchanges that want to keep operating in every single country in the world, if you're still planning on doing anonymous buys CEX will not be an option.
I am also a verified user, but I haven't received such a notification. Maybe it was sent out only to non verified users. Even the 0.06 BTC limit is too low in my opinion. I am imagining if BTC dropped to 5K. That's $300 worth of withdrawals every 24 hours
Wait till it goes to the same level banks offer without KYC 0.0!