To get rid of the GPL licensed Linux kernel so they can eventually make it closed source.
I think the main reason is so they can provide a stable driver ABI so that it becomes possible to update Android.
They're probably also frustrated with Linux's security (hence this post) and having to maintain out of tree patches (e.g. Binder).
PS 4 uses an open source OS, how much have you seen of it?
And of course, there would be some very legit reasons not to use GPL - like embedding ZFS into the kernel. Which would be no license issue for Fuchsia.