Killing mobs that are not the placeholder for the NM have no effect on the spawn time of a lottery spawned NM. The only way to make it spawn slower is to let the placeholder live.
Probably all lottery spawn type NMs have only one mob that's the "real" placeholder and the other mobs are just decoys, but the only way to tell them apart for sure (and identify the correct one) is to look at a wide scan list while the NM and all its placeholders are simultaneously up.
Here's what ffxiclopedia has to say about identifying Leaping Lizzy's placeholder:
| Quote: |
| When using Widescan, look for the three groups of five lizards in the area. First list is centralized East of the large pillar, second group is West, and third group is Northwest. Leaping Lizzy's placeholder is the fifth lizard in both of the first two groups. After killing Leaping Lizzy in one area she may be the next pop in the other area. |