Hello! There would be no automatic connection between the monsters and characters that come from the same canon world. This is because the Singularity is connected to all worlds, so the magic essence would be similar across everyone. In Himeka's case, rather than reading different "aether" signatures, what she might find is that the aether signature between native organisms in Abraxas and that of the Summoned or Anomalies are actually very similar, suggesting they hail from the same source.

For canon-specific connections between an Anomalous Beast and a canon character, you can check in with the players involved themselves. For example, Lucifer may carry a more distinctly similar aether signature to the hellhounds due to his canon connection to them. This would be entirely dependent on how the player involved interprets such connections, however.