I think the clue to what to call it is in the Penalty statement. The penalty statement includes S20 (illegal shift). If the snapper moves to a new position, someone must move into the snapper's position and therefore we have a dead ball illegal shift. Perhaps the announcement would be "Illegal shift, by rule, the snapper may not move to a new position, 5 yard penalty, 2nd down"
That is the only thing that is close to an illegal shift in 7-1-3. But if you look at the Summary page, it lists S19 for all fouls in 7-1-3. Perhaps you could use S19 with the above announcement. Or call it "Illegal Change of Position, by rule, the snapper may not move to a new position, 5 yard penalty, 2nd down"