The 2.38 branch has been created.

[Fangrui Song]

On 2022-02-09, Nick Clifton wrote:
>Hi Fangrui,
>
>>Hi Nick, I'd hope that the 2.38 branch has a proper way specifying
>>output section type...
>>https://sourceware.org/pipermail/binutils/2022-February/119600.html
>>which may possibly be used by Fedora.
>
>Sorry - that feature was too new to get into the 2.38 release.
>
>But... Fedora rawhide binutils only uses the 2.38 release as a starting
>point.  So it is entirely possible that output section type patch can
>be added on.  Just ask the Fedora binutils maintainer.  Oh, wait, that
>is me.  It would help me if you could file a Fedora bugzilla for adding
>this feature as that way I can keep track of it.
>
>Cheers
>  Nick
>

No worries! Thanks for the help on Fedora side. 
I have filed
https://bugzilla.redhat.com/show_bug.cgi?id=2052801
(Backport TYPE=SHT_NOTE patch to binutils and use it for the .note.package section).