Finally, curiosity won me over and I bought an E to OM tilt adapter (the cheapest- they are all the same sold by different vendors ~$35/shipped). It needs to be held in place with one hand, even the light weight OM lenses make it droop but it works amazingly well. When I recall how only one company supplied such ball and socket tilt adapters (prices >$500!) until few years ago, this is a very luxurious position to be in.
OM 50/1.2 and OM 85/2 are even more delicious with the added tilt (A7R).