LGPL is not permissive in the sense BSD, MIT, Apache, Python, etc. are. LGPL is still strongly copyleft, the only real difference from GPL is that it allows you to incorporate it into larger piece of work that isn’t under GPL, provided you allow the user to freely modify and replace the LGPL parts. As a result it really doesn’t make much sense for anything but dynamically linked libraries that can be easily replaced.

On the other hand permissive licenses allow you to relicense the work completely. They have been deliberately created (often by universities) to be used regardless of commercial or proprietary status.

Probably best illustrating example is the Berkeley socket interface that single-handedly became the way to implement internet enabled applications for virtually any OS (including some implementation bugs)