I have been unable to find anything on the "special flower paradox", but it sounds to me like you might be describing a cognitive bias (or self-delusion) known as the "illusory superiority" effect, sometimes called the Lake Woebegone effect. Wikipedia explains:
Illusory superiority is a cognitive bias that causes people to overestimate their positive qualities and abilities and to underestimate their negative qualities, relative to others. This is evident in a variety of areas including intelligence, performance on tasks or tests, and the possession of desirable characteristics or personality traits. It is one of many positive illusions relating to the self, and is a phenomenon studied in social psychology.
Illusory superiority is often referred to as the above average effect. Other terms include superiority bias, leniency error, sense of relative superiority, the primus inter pares effect, and the Lake Wobegon effect (named after Garrison Keillor's fictional town where "all the children are above average"). The phrase "illusory superiority" was first used by Van Yperen and Buunk in 1991.