Not explicitly, in my case. My impression is - I stand open to correction - that it is only comparatively recently that the concept of there having been two separate empires has filtered down from academic historians (I don't know when they first started talking about it) into the consciousness of the wider public. Complicated of course by the fact that some bits of the first empire (Ireland, Canada, Jamaica, Gibraltar etc. - and where does India come in?) survived into the second.