Interlining Baggage?

Hi,
Just wondering if anyone can help me, think I might be pushing my luck though for the answer I want!
I am flying to Seoul next week with Korean Air LHR-ICN return, with a separately booked flight with Virgin (Little Red) from EDI and return. (22/06 and 29/06). Outbound I am OK to re-check in since I have around 5 hours connection xx( , however on the return my flight from Seoul arrives at 1725 with my connection at 1950. This would normally be fine I assume, if a little tight, however, over the last few days the KE flight is arriving after 6, significantly cutting my connection time.
So, finally, my question is, do VS and KE ever interline baggage? Or am I just going to have to hope for the best?
Any advice/help is appreciated!
Thanks!
Just wondering if anyone can help me, think I might be pushing my luck though for the answer I want!

I am flying to Seoul next week with Korean Air LHR-ICN return, with a separately booked flight with Virgin (Little Red) from EDI and return. (22/06 and 29/06). Outbound I am OK to re-check in since I have around 5 hours connection xx( , however on the return my flight from Seoul arrives at 1725 with my connection at 1950. This would normally be fine I assume, if a little tight, however, over the last few days the KE flight is arriving after 6, significantly cutting my connection time.
So, finally, my question is, do VS and KE ever interline baggage? Or am I just going to have to hope for the best?
Any advice/help is appreciated!
Thanks!