I don't think original MOI ever did the member introduction thing. During the 1970 MOI reunion at Fillmore East (9th of May) the members were introduced. I'm not sure how many gigs the reunited pre-Contempo MOI did, so I'm not sure if I can speak of consecutive three. The subsequent Flo & Eddie lineup, not sure, Frank did introduce the members during the Uddel Netherlands gig (6-18-1970), but he was also being interviewed and thus he had to introduce his band. No evidence of subsequent band member introductions, none that I know anyway.
So basically, I think the first touring group to have the members introduced on the regular basis was in fact the Grand Wazoo 1972 big band! Basically Frank would shout the name, the player would then check his sound (and when necessary, Frank would ask to turn the member up in the monitor system), then another name and another player checks his/her sound etc. See "Intro Intros" from
Wazoo for an exemplary recording, along with some humorous Frank banter.