How splendid it is that the Extraordinary Form and the Ordinariate Missal preserve for us this Pentecost Octave which stretches, like the Easter Octave, to Saturday arternoon next. But there is, I fear, something missing in what we have; an omission which undermines the liturgical integrity of Pentecost.
Your Roman Missal, if it preserves the Roman Rite as it was at the beginning of the Pontificate of Pius XII, will show you a Pentecost which begins with a Baptismal Vigil: just as does Easter. The rites are scaled down for Pentecost; there are only six lections: but it is clear that Pentecost is a secondary Baptismal Season. Practically, it was a useful back-up to Easter for those who, for whatever reason, had not received Christian Initation at Easter. But in any case, the association is theologically appropriate, since the Pentecostal Anointing of the Spirit is central to the full rite of Initiation. Dom Gregory 'Patrimony' Dix was, I am convinced, absolutely right to insist that Consignation/Confirmation is not a secondary adjunct to "Water Baptism", but one of the primary elements in Christian Initiation.
(I devoutly trust, by the way, that the Latin Church will not follow the boring old Anglican mistake of regarding Confirmation as an adolescent Rite of Passage, a sort of Christian Bar-Mitzvah; a misunderstanding as pastorally disastrous as it is theologically flawed. It most certainly is nothing whatsoever of the sort.)
The point of the Pentecost Octave is quite simply that it follows on logically from the Baptismal Vigil Liturgy. It is a week in which (as after Easter) the Illuminati wear their Whites (a meaning still, probably, alluded to in the English name Whitsunday). The Eucharistic Celebrant continues through the week to use the form of the Hanc igitur which is said for the newly initiated. On Saturday, the Neonati returned their Whites to the Pontiff; the statio was ad S Petrum in Vaticano.
It is rumoured that Ecclesia Dei has been allowing pre-Pius XII Holy Week Rites. I can see no reason why they would object to a restoration of the Pentecost Vigil. After all, it has been restored ... sort of ... in the Novus Ordo.
(1) The Vigil disappeared under Pius XII; we should never forget that the disintegration of the Classical Roman Rite has Pius XII [if not S Pius X!] for its godfather. The 'Council' and its aftermath merely formed a logical progression of what Pius XII and Mgr Bugnini and others had already enthusiastically set rolling in the 1950s.
(2) The practical problem of administering Confirmation to adolescents, familiar to all Anglican parish clergy, is summed up in the old Anglican joke about one Churchwarden advising another about how to get rid of the bats in his belfry despite the fact that they are a protected species. "We just got the Bishop to climb up the ladder to the bell-chamber and clamber round the bells and confirm every bat he could find. We've never had a single one of them inside the Church since".