I can't find this in any of my dictionaries; are you sure of the spelling? There isn't an entry for this spelling even in Credo online reference, which searches 568 reference books.

"moodle ('mu:d(ə)l), v. [Origin unknown] intr.
To dawdle aimlessly, to idle time away. Const. about, on.

[...]
1928 – Intelligent Woman's Guide Socialism lxix.328 Napoleon often moodled about for a week at a time doing nothing but play with his children or read trash or waste his time helplessly."

OED, 2nd ed. 1989.

Geht halt doch nix über's gute alte OED ;-)

Zu #2:

Dieses Beispiel mit Napoleon wurde auch schon im ersten Link des OP angeführt. Also nichts Neues. Aber es fehlen Belege, die beweisen, dass das Wort nach 1928/1938 noch verwendet wurde...

Zu #3:

CM2DD hat die Schreibweise in Frage gestellt und nach einem Wörterbucheintrag gesucht (s. #1). Darauf habe ich geantwortet.

I do trust the OED somewhat more than allwords.com.

I wonder how popular this word has ever been? I see plenty of modern examples of it being used in the technological sense, including as a verb. In fact they probably drown out any examples of it being used with the meaning proposed. Makes it hard to work out if a "rare" or "dated" tag might be needed.