I think that like open hold teachers have co-opted the term 'embrace' they now also wish to co-opt the term 'close'...soon, open hold dancing will be called 'close embrace' dancing...watch.
Do you realize that this conflict, this dichotomy, this epic stuggle you seem to see is pretty much all in your own head? Open your eyes, open your mind, learn some of the "other" technique...and you just might see that the difference is much smaller than you are currently making it out to be.
Give it a rest, for crying out loud. Idealogical issues aside, most reasonable people understand what is meant by "open embrace" or "close embrace."