The Future II of the Passive Voice uses the perfect infinitive form of the Passive Voice,
geliebt worden sein,
in its formation, which thus runs as *
Ich werde geliebt worden sein,
Why doesn't the same perfect infinitive form of the Passive Voice apply to the formation of the Perfekt Passive (Ich bin geliebt worden), and that of the Plusquamperfekt Passive (Ich war geliebt worden)?
In keeping with the perfect infinitive form of the Passive Voice, shouldn't these two perfect tenses, when in the Passive Voice, also be formed like Future II of the Passive Voice?
Thus, instead of Ich bin geliebt worden, shouldn't there have been *Ich bin geliebt worden sein? Similarly, instead of Ich war geliebt worden, shouldn't there have been *Ich war geliebt worden sein?
Aren't these two perfect tenses of the Passive Voice similar to Future II of the Passive Voice? If the three of them are perfect tenses, why are they not formed in the same way?