I am not familiar with this variant. However, in civil law countries you need an explicit waiver (like the CC-0 license), otherwise the duty to preserve attribution remains there even if the license said otherwise. That's because attribution is a moral right rather than part of copyright.

The argument against is that someone who then encounters the code without the notice will have no idea what license the code is under. They won't be aware of the BSD rights and disclaimers that otherwise should apply to them.

What we do here instead is explicitly say that you can include the Lil License text, or link to it instead — as we tend to do in these modern times.

Could somebody attach their own copyright notice and pretend to be the author of your work?

The zlib license does the same thing and is OSI/FSF approved. http://zlib.net/zlib_license.html