Even giving your code to the public domain is better than an MIT or BSD license; corporations will still be able to make it proprietary but at least it clears the air around the 'interesting question' of mixing MIT/BSD code into a copyleft project and distributing the whole lot under a copyleft license.
Maybe in the US, but much of the world doesn't recognise waving away all author rights voluntarily. The closest thing to worldwide public domain is probably the Creative Commons Zero licence.
I'm serious, how many German individuals do you think would refuse to install sqlite on their personal computer because they lack a technically valid license for it? A few such weirdos doubtlessly exist but you can safely ignore them.
SQLite has a good track record but I can imagine another strongly religious developer taking advantage of authorship rights to damage some small EU-based social organization they strongly disagreed with; just an example.
As for the weirdos, as I said SQLite has a good track record, but I'd think twice over a much smaller dependency. However, I've seen enough disregard for FOSS licenses in business to know the weirdos are few. I guess you either care about license minutae or you don't.