Does the validation of an ICAO licence allow you to fly internationally? Hypothetical situation:
A pilot with an ICAO-compliant PPL licence from Australia goes to France and France issues a licence validation in accordance with the Chicago Convention, thus allowing him to fly aircraft registered in France.
If this pilot wants to take a French-registered aircraft to another country is this possible? From Article 33 of the chicago convention it seems like this should be allowed, but is it actually in practice?

Article 33
Recognition of certificates and licenses
Certificates of airworthiness and certificates of competency
and licenses issued or rendered valid by the contracting State
in which the aircraft is registered, shall be recognized as valid
by the other contracting States, provided that the requirements
under which such certificates or licences were issued or
rendered valid are equal to or above the minimum standards
which may be established from time to time pursuant to this
Convention.
When doing the validation e.g. in France you will get a validation from an EASA member which enables you to fly an EASA registered plane world-wide. 

EASA includes registered planes from 

Austria
Belgium
Bulgaria
Croatia
Cyprus
Czech Republic
Denmark
Estonia
Finland
France
Germany
Greece
Hungary
Iceland
Ireland
Italy
Latvia
Liechtenstein
Lithuania
Luxembourg
Malta
Netherlands
Norway
Poland
Portugal
Romania
Slovakia
Slovenia
Spain
Sweden
Switzerland
United Kingdom