No, your example has nothing to do with preference, your method (picking out of 4) just less random than picking from one (the first).

Preference is, when certain passwords more likely to be picked than others or at those passwords less likely to be stepped over to generating a new one. Wtih strong preference you regenerate until you got that preferred password, for example you prefer short words and the attacker know that, at first trying combinations with short words has better chance to cracking the password.