Peter,
I can entangle the two lions as follows.While the lions are resting one lion is always standing on guard while the other sleeps on his back.The two lions have the following appearances. Ghost has a pale body but a dark underbelly and Darkness has a dark body and pale underbelly. The lions are next to each other and each observer is nearest to a different one. Now the two observers set off in opposite directions having synchronized their watches. Equidistant from the lions at a pre-arranged time they both look simultaneously at the nearest lion.
Observer Alice sees standing lion that has pale fur, can not know with certainty underbelly colour as it can't be seen. As Alice has seen Ghost, Bob must be looking at Darkness. And as when one lion stands the other sleeps on its back Bob is seeing a pale underbelly fur, and can't know with certainty the colour of the body fur on its back as it can't be seen.If instead Alice sees darkness Bob sees Ghost. If Alice's lion is on its back Bob's lion is standing.
Light is spreading out from the two a-lion sources in Alice's direction and in Bobs direction. Each stream of photons is associated with one of the lions and the streams of photons are independent of one another.Now Alice puts on her special polarizing sun glasses which can be set to give either a pale or dark appearance on light fur. Ghosts belly is dark only 50% of and very dark 50% of the time Darkness' belly is pale only 50% of the time and dark 50% of the time. Ghosts body is pale only 50% and dark 50% of the time. Darkness' body is dark 50% of the time and very dark 50% of the time. Now does the way Alice see the lions affect what Bob sees? If the lion is lying on its back Bob's lion is standing and vice versa.
If Alice sees a dark belly there is a 50% chance she is seeing Ghost unaltered belly fur image and 50% chance she is seeing Darkness' belly fur image darkened by the glasses, so there is a 50% rather than 100% chance of correctly guessing which standing lion Bob is seeing and so what fur color he sees. Bob has to have the opposite lion in the opposite stance whatever lion Alice imagines she sees. So have seemingly contradictory findings such as dark belly fur and dark body fur pairs and pale body pale underbelly pairs of results. Though I suppose if lots of results were collected the pairs might be mentally chopped and swapped so there are imagined to be only complementary pairs of results in the collection.
I haven't yet had time to look at all possible outcomes and possible interpretations.Must go now. Does the analogy work or has it been taken too far and fallen apart?