[elcritch]

Actually, you _can_ release a static binary if and only if you also provide all the components needed to re-link the static binary. Read part 1 of the LGPL FAQ section on static vs dynamic linking [1]. It's trickier on iOS and Android app stores due to the distribution method. IANAL, but at one point Apple had a (obscure) link to the object files needed to re-link one of their programs which linked to an LGPL library -- alas I can't find the link anymore.

Edit: To clarify, if you provide the parts of your application that are proprietary as statically linked libraries wherein the recipient can relink to a modified version of the LGPL'ed library then that satisfies the LGPL.

1: https://www.gnu.org/licenses/gpl-faq.html#LGPLStaticVsDynami...