HTTP is stored in the balls

The text of the LGPL actually imposes some very inconvenient restrictions around static linking:

Convey the Minimal Corresponding Source under the terms of this License, and the 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, in the manner specified by section 6 of the GNU GPL for conveying Corresponding Source.

https://www.gnu.org/licenses/lgpl-3.0.html#section4

In order to be compliant, you would have to also ship linkable object files of the proprietary application code alongside the executable.