The CDWDS speaks of the “formation” of liturgical families. Certainly, the particular practices of Jerusalem, Antioch, Alexandria, Constantinople, and Rome all developed strongly prior to Constantine. Freer travel and greater accessibility to the liturgical and devotional life of the ancient Church just brought it all out into the open.:
26. During this period, the formation of various liturgical families with their consequent differences, matured. The more important metropolitan Churches now celebrate the one worship of the Lord with their own cultural and popular forms which developed from differences of language, theological traditions, spiritual sensibilities, and social contexts. This process gave rise to the progressive development of liturgical systems with their own proper styles of celebration and agglomeration of texts and rites. It is not insignificant to note that even during this golden age for the formation of the liturgical rites, popular elements are also to be found in those rites.
Such “popular” elements were naturally part of what people of faith brought to the liturgy before things became standardized somewhat in the larger cities. Bishops met throughout the 4th and 5th centuries to address not only liturgy, but as we know, essential matters of faith, such as the nature of Christ and the governance of the Church.
On the other hand, bishops and regional synods began to establish norms for the organization of worship. They became vigilant with regard to the doctrinal correctness of the liturgical texts and to their formal beauty, as well as with regard to the ritual sequences.* Such interventions established a liturgical order with fixed forms which inevitably extinguished the original liturgical creativity, which had not been completely arbitrary. Some scholars regard these developments as one of the source of the future proliferation of texts destined for private and popular piety.
* “[Placuit] ut nemo in precibus vel Patrem, vel pro Filio, vel Filium pro Patre nominet. Et cum altari assistitur, semper as patrem dirigatur oratio. Et quicumque sibi preces aliunde describit, non eis utatur, nisi prius cum instructioribus fratribus contulerit”: THIRD COUNCIL OF CARTHAGE , can. 23, N. 1, in I. D. Mansi, Sacrorum Conciliorum nova et amplissima collectio, III, Florentiae 1759, col. 884; “Placuit etiam hoc, ut preces quae probatae fuerint in concilio celebrentur, sive praefationes sive commendationes, seu manus impositiones, ab omnibus celebrentur, nec aliae omnino contra fidem praeferantur: sed quaecumque a prudentioribus fuerint collectae, dicantur”: Codex canonum Ecclesiae Africae, can. 103 (ibid., col 807).
Make of that note, as you will.
The full document, the Directory on Popular Piety and the Liturgy, is online at the Vatican site.