Divine Visitation
Crafty Cutpurse
Gather Specimens
Anointed Procession
Xantcha, Sleeper Agent

Case A:
AP activates an ability that creates a creature token.
NAP casts Gather Specimens in response.

What happens if…
AP has Anointed Procession?
NAP has Anointed Procession?
both have Anointed Procession?
AP has Divine Visitation?
NAP has Divine Visitation?
AP has Anointed Procession and Divine Visitation?
NAP has Anointed Procession and Divine Visitation?
AP has Anointed Procession and NAP has Divine Visitation?
AP has Divine Visitation and NAP has Anointed Procession?
AP casts Crafty Cutpurse in response to Gather Specimens?
the token being created is a copy of Xantcha, Sleeper Agent?

Case B:
AP activates an ability that creates a creature token.
NAP casts Crafty Cutpurse in response.

What happens if…
AP has Anointed Procession?
NAP has Anointed Procession?
both have Anointed Procession?
AP has Divine Visitation?
NAP has Divine Visitation?
AP has Anointed Procession and Divine Visitation?
NAP has Anointed Procession and Divine Visitation?
AP has Anointed Procession and NAP has Divine Visitation?
AP has Divine Visitation and NAP has Anointed Procession?
AP casts Gather Specimens in response to Crafty Cutpurse?
the token being created is a copy of Xantcha, Sleeper Agent?

Any clarification you can bring to these situations and how CR616 and 701.6b interact with them would be illuminating.