These are good definitions and clarifications, but since I don't see direct answers, I will offer one. As a software engineer, I am familiar with logic, and so converse and inverse are everyday words for me.
The converse, defined as swapping hypothesis and conclusion, is of course a position change. Since reverse indicates direction, I have often heard and even used reverse as a natural substitute for converse.
Think of someone saying, "If I have to do it, you do too!" A common reply would be "And the reverse!" This is actually referring to the converse, but that would not be said by most people with whom I am familiar.
I believe that those are the only two that would be confused in casual discourse, and that the differences would indeed become more salient in technical contexts.