Because Stagemancy includes all 3 of the Erfworld elements, it is plausible that users of Stagemancy are able to perform similar feats as a caster link but on a much smaller scale. That is, Stagemancy combines multiple other magical disciplines together to create a more interesting combined effect. This ability would not make Stagemancers more powerful than other caster classes as the power of their spells would be more or less the same, just that the effect the spells would have is reminiscent of combining other disciplines (Combine Dittomancy (duplicate at destination) and Dollamancy (fabricate) to create a Messaging Hat perhaps?)
IF the fairygodmother type in LIAB_60:6 is a Stagemancy caster, and she can work in rhyme-o-mancy and hat magic, she may well be able to grant SMALL wishes. The Disney fairy godmother could grant pretty serious wishes- even though still limited in duration- so she must have been pretty high level. A low level Godmother could answer a wish for something small- a drink, a sandwich, a band-aid, a pen, a pad of paper, a pencil, a set of dice, a small area road map. -Deliberatus
Real World References
As the name implies, the three disciplines of stagemancy are all performing arts often on a stage in the real world: hat magicians, carnival hucksters, and poets/musicians.