On a Finnair Economy Light (seems this is like BA's HBO (Hand Baggage Only) fare, where there's no allowance of checked baggage) does OneWorld Emeralds get extra checked bag?

For Finnair Platinum (also OWE) it's indicated: You’re entitled to one extra bag (max. 23 kg (50 lb) when travelling on Finnair flights (AY code on the ticket and flight operated by Finnair or Norra), regardless of travel class. Unsure if this policy applies to Finnair Platinum travelling Economy Light? If so does it similarly extend to other OWEs?