It doesn’t seem that way …
On /e/OS we’ll have to see, Android 13 is still to come there. While it is based on LineageOS, e foundation have their own development team. At least, they should be aware.
Stopping Android 13 Fairphone OS would be nonsense anyway if they want to continue software support. Android 11 still has a few months to live as far as we can assume, but Android 13 gets 2 years more of security update support than Android 11 under the same assumptions.