I think part of the magic of that mid 90s side was the transformation of them under McLean who took them from propping up the table not that long after the cup win to playing a wonderful, cultured brand of football. Signing Tommy Coyne and then later Mio and Lambert were pivotal moments on that journey.
McLeish perhaps made them even more fluent in his first season (game at Ibrox I linked above would support that).