I'm not convinced about that.

I see from your posting history that mostly you post in the Eurobonus forum - and certainly from their perspective things would indeed be do-able and work fine. BUT, BA take a rather different attitude - if you are conecting to another flight they will only check bags through if the connecting flight is either OneWorld or on the same ticket... and in this case it's neither.

The only hope is that the OP has time to reclaim bags and check-in again. I'm very sceptical - but you've no doubt got more experience of CPH that me.