I know Britain well - and I think there's an obvious gap between any rhetoric that you might hear about the "great British" whatever and people's true belief in the greatness of whatever is being described. Fundamentally, British people are not convinced of the superiority of much in this country.
If British people in general were truly convinced of the superiority of all things British, most of us would drive British cars, eat at restaurants serving British food, drink traditional British ales, and go on holiday at British resorts - at least most the time.
So ... no ... it's not the same as the attitude that I perceive in some of my French friends. Not at all.