If anything the new funeral rites of the Roman Catholic Church are specifically designed to mirror the Eastern Christian/Orthodox type of Requiems, as opposed to those of the Tridentine rite (Which were developed in the Middle Ages and tended to focus more on the grim aspects of death and sin). For the first millennium all Christians, both East and West used death and the funeral liturgy as an attempt to express the Pascal mystery of death in the life of the deceased and the call to reflect on that in the lives of the living mourners.
As noted, any apostolic funerary rite involves the celebration of the paschal mystery, prayer for the deceased, and a call for repentance. It is often though that the medieval-Tridentine requiem overemphasizes intercession for the dead and penitence, while the reformed funeral rite overemphasizes the paschal mystery. The requiem preface from the 1962 Missal amply demonstrates the balanced use of paschal imagery that is intrinsic to the old rite.
-----------------Missale Romanum 1962 Requiem Preface Vere dignum
[...] In quo nobis spes beatae resurrectionis effulsit ut quos contristat certa moriendi conditio eosdem consoletur futurae immmortalitatis promisso. Tuis enim fidelibus Domine vita mutatur non tollitur et dissoluta terrestris huius incolatus domo aeterna in caelis habitatio comparatur. Et ideo
[...] sine fine dicentes: Sanctus, Sanctus, Sanctus
"It is truly right" [...] "In Him the hope of blessed resurrection has shown forth for us. The certain spectre of dying overshadows the same ones whom are comforted by the prospect of immortal life. Lord, life is changed and not taken away from your faithful. When the earthly home once dwelt in passes away, an eternal dwelling is established in heaven. Therefore" [...] "singing ceaselessly: Holy, Holy, Holy" [...] (my translation)
The Requiem Preface is one of the hardest prefaces to translate, if not the hardest. It is stunningly beautiful and quite profound.
My main issues with the reformed Roman funeral rite is the indult
for white vestments and palls and the tendency to celebrate the funeral as a canonization-eulogy of the deceased. The rubrics of the reformed rite still stipulate violet or black for funerals, even though few priests in the United States follow the rubrics in this regard. The use of white vestments, as well as the ability to choose non-penitential propers, dilutes the orthodox doctrine that all Masses, and especially funerary Masses, are for the benefit of all the living and all the dead. I have attended many Roman funerals that resemble Protestant memorial services, complete with eulogies. The Mass is so much more than a mere memorial service, and should not be abused in such a way. The balance between paschal mystery and intercession still evident in the medieval requiem has been swept away by a rite notable for an undue emphasis on the paschal mystery of death.