If they did, they would probably do it the way Amazon does with Kindle or Samsung does with Android. A giant tarball you can download from somewhere on their site, but not necessarily easy to just know about (like a link on the homepage).

If you go here: http://opensource.samsung.com you can see that they have the OS for some TV's. This is the typical way they comply (with unuseful, unannotated giant dumps).

LG actually has some appliances:

http://www.lg.com/global/support/opensource/index