http://www.gnu.org/licenses/lgpl.html
In particular, iOS WebKit has been distributed in this fashion. You can download a source tarball from Apple that includes static binaries alongside the LGPL portions of the source.
The reasons for not wanting the LGPL probably have more to do with the LGPL placing obligations on Apple to convey source code to users upon request.
| ... Corresponding Application Code in a form suitable for, and under terms that permit, the user to recombine or relink the Application with a modified version of the Linked Version to produce a modified Combined Work ...
This is practically impossible to do with under Apple Store forcing digital signing of applications (forbidding combined work), even if the developer provides modified source code.