Yup. doesn't matter, AFAIK. It's all about the marketing carrier (flight number) in all cases I've seen. Usually (but not in all cases), one gets a codeshare flight number from the ticketing carrier. So, buying a BA-operated flight on AA often gets an AA number. In that case it earns like AA ($). In the less-common case where buying on AA still yields a BA flight number, this should earn based on partner (distance) rules. At least that's how it has been in the past. I don't imagine that the change to LP impacts that. However, I've not personally experienced this since the change.

Cheers.