Hi rommulus. I'm having the same problem as OP. I've tested it on both MaxDesign2014 & Max2016, and I've tried jpg, tif, & png, and finally I,ve tried to reinstall Corona 1,3. Nothing changes :(
But... one thing makes a difference: If I use a single material with a Corona multi-map in the displacement slot, instead of a multi/sub-object material, then continuity works (sort of). But my preferred method is (and will be) to use a multi/sub-object material.
Along these tests, I discovered another problem using displacement in a multi/sub-object material. If I change the bitmap offset for the displacement map, IR doesn't start to recalculate the displacement as it should.
How did you set up your test?