What should I do to define C-c bindings in a minor mode?

[Marcin Borkowski]

I noticed that

--8<---------------cut here---------------start------------->8---
(define-minor-mode cool-mode
  "An extremely cool minor mode."
  :lighter " cool!"
  :keymap `((,(kbd "C-c C-c") . do-cool-stuff)))
--8<---------------cut here---------------end--------------->8---

Just Works™, and it is so (apparently) because of the existence of
`mode-specific-map'.  Do I get it correctly that it works like this:

- C-c is bound in `global-map' to the keymap `mode-specific-map', which
  is empty by default.

- I define a key of the form "C-c <whatever>" in `cool-mode-map', either
  using the above definition, or `define-key', or whatever means.

- When the user presses `C-c' in cool-mode, Emacs knows that it is
  a prefix key because of `global-map' (and `C-c' not being defined in
  any other keymaps), so it waits for the next key.

- When the user presses `C-c' for the second time, Emacs looks up the
  binding for `C-c C-c' using normal means, IOW, starting with minor
  mode keymaps - and since it's there, runs `do-cool-stuff'.

Is that correct?

While at that, are there any downsides to defining minor mode keymaps
like I did above?  A very similar example (but without `kbd' and the
backquote) appears in the manual - see (info "(elisp) Defining Minor
Modes"), the definition of `hungry-mode'.  Technically, it uses a normal
quote instead of #', so it is against the recommendation of using #' and
not ' for functions, but it still works fine.  Is it me hair-splitting
or is the recommended way of defining minor mode keymaps something else?

TIA,

-- 
Marcin Borkowski
http://mbork.pl