This is wrong. 3-clause BSD requires reproduction of copyright notice. You cannot distribute commercial derivatives of BSD-licensed code without including attribution. It’s literally clause two.
That’s why I’ve asked about the modern BSD license, the one without the advertising clause.
But even with the old one, having to add one more disclaimer to the usual page of disclaimers somewhere in the documentation is not a problem, while meeting requirements of copyleft licenses - even non-viral ones - can be problematic.