[stan_rogers]

Yes. It is also the case in plainchant in the C of E tradition (the "ancient office hymns" as well as the psalm, the Benedicite, the Sanctus and Benedictus, Te Deum etc.). It is only somewhat stylized so that it can be sung by groups of people (otherwise people's own idiosyncratic rhythms would produce a cacophony), and terminal syllables of verses tend to be held and elaborated, but it is very much based on the rhythms of ordinary speech.