I want to have CONTENTS showing headlines up to particular level N when
open file. I couldn't find such a thing in docs and VISIBILITY can't be
used since it takes no arguments too, so having multiple VISIBILITY
properties in every top-level headline is a bit stupid, not saying that it
can not solve the problem fully, because it also doesn't take argument for
"children" or "content".

Why not handling this somewhere in "+STARTUP: content N" or anywhere
similar? Since org-mode handles arguments for org-global-cycle, why not
handle them on startup?

I managed to get this behavior simply by calling the (org-global-cycle N)
in find-file-hook, but this is somewhat dirty.

Regards, Vitaly