Then I would make the method accessible, but behind some kind of authentication method. User mails you and asks for the way to install it, once you've verified it's really them you provide the unique backdoor to that machine. Might be one way to approach it.
You can burn a unique serial number or whatever directly into the IMX6, there's a eFuse/OTP driver that lets you access it from the filesystem.
Great tip on the eFuse and an authentication method! Have you ever released a product built with Qt under the LGPL?
Installation of a modified library would seem (to me at least) to be a method you can share only with authorized owners.
I've released Qt products under LGPL, but they're all industrial equipment and I've never had a customer give any of this a second glance. They just want their shit to work.