since the calls are successive, the IDs and PID/IV are tied together.
if that searcher doesn't have a searcher for what you're looking for, you'll have to modify it / build a new one.
PKHeX was updated to list the expected IDs for CXD starters, and I've just committed a fix for that double-flag message.
https://github.com/kwsch/PKHeX/commit/ddf55ee75acc3e7352782457530f9b4cce284ae5
https://github.com/kwsch/PKHeX/commit/1769bcd30663bb2b88bd42d8154769dfd2f48d04
Thanks for bringing that to my attention