bug#56643: 29.0.50; Help-mode bookmarks not loading with native compilation

[defun.foo--- via "Bug reports for GNU Emacs, the Swiss army knife of text editors" <bug-gnu-emacs@gnu.org>]

Overview:

With native compilation enabled, adding a bookmark in a help buffer seems to work normally for the duration of the Emacs session, but when Emacs is restarted an "Invalid read syntax: '#'" error is thrown and the entire bookmark list fails to load. This appears to be caused by a compiled lambda being serialized to the bookmark file in a way that is unreadable to the reader.

Emacs version:

29.0.5, compiled from latest master branch on 7-18-2022, and started with emacs -Q for both scenarios below.

Steps to reproduce:

1. Ensure that native compilation is enabled by running M-x native-comp-available-p
2. Run M-x describe-function {{any-function}} and move to the resulting *Help* buffer
3. Create a bookmark with C-x r m
4. Without quitting Emacs, kill the *Help* buffer, then run C-x r b to jump back to the bookmark (this works as expected)
5. Quit Emacs (C-x C-c), and restart
6. Attempt to jump to the same bookmark again (running C-x r b), and observe that the bookmark list fails to load and throws an "Invalid read syntax: '#'" error

Here is an example of a help bookmark as it was serialized to the bookmarks file (note the "help-fn" value):

("native-comp-bookmark"
 (position . 1)
 (last-modified 25301 49750 590832 312000)
 (help-fn . #<subr F616e6f6e796d6f75732d6c616d626461_anonymous_lambda_9>)
 (help-args switch-to-buffer "*scratch*")
 (position . 1)
 (handler . help-bookmark-jump))

For comparison, I compiled Emacs without the native compilation flag (and verified that native-comp-available-p returned nil), and went through the same steps above, creating a new bookmark. Jumping back to the bookmark after restarting works as expected, and here is an example of that bookmark serialized without native comp:

("vanilla-bookmark"
 (position . 1)
 (last-modified 25301 49238 861856 736000)
 (help-fn .
          #[514 "\301\x01!\205\a\0\211\x18\302\x02!)\207"
                [describe-function-orig-buffer buffer-live-p describe-function]
                4 "\n\n(fn FUNCTION BUFFER)"])
 (help-args switch-to-buffer "*scratch*")
 (position . 1)
 (handler . help-bookmark-jump))

I did find an older similar bug (#24573 https://lists.gnu.org/archive/html/bug-gnu-emacs/2016-09/msg00971.html) which was causing the same error due to a buffer object being serialized. This was fixed by saving just the buffer name, but I'm not sure there's any comparable way to save a reference to a compiled lambda. Any advice would be much appreciated though!