>> -           (seq-remove (lambda (elem) (eq (car elem) 'name))
>> -                       (frame-parameters frame)))
>> +          (seq-remove (lambda (elem)
>> +                        (memq (car elem) '(name window-id outer-window-id parent-id)))
>> +                      (frame-parameters frame)))
>
> Could you move this list into a variable and then use it in
> `frameset.el` when computing `frameset-persistent-filter-alist` (tho
> I suspect they should be in `frameset-session-filter-alist` even they
> currently aren't in there, which might be a bug in `frameset.el`).

Done in this patch (for master):