Tragic, this is a some what a tough decision for the British Museum to justify keeping the items, lots of politics, reputation and prestige on the line.
The right thing to do, is return the item that have been looted barbarically. However, shady loopholes and justifications seem likely to be on the horizon.
I would assume, sadly, that the first course of action for the Brits would be to stall, and let the story go away by itself.
Really rough, but when you look past the tid bits, laws, and sides involved, looting, is looting, and wrong doings should be corrected.
How important is this on a problem scale vs the many fucked up things going on in this world..... I guess we will see.