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The scorecard execution will show the latest runs. The view you have mentioned stores only the latest execution stats.
As a workaround you can probably check the view IDPV_PROFILE_DETAILS_TRENDING and sort by the latest or TIME_CREATED column,for the scorecard or profile .
How would I combine that with the actual scores (or row counts - total and invalid) for each?
Hope below query helps
from IDP_SCORE_SMRY_RES where scorecard_name like 'Hong_Kong_OMS_EBS_Order_Reconciliation_Scorecard%' order by time_created desc,field_Key ;