Well, the defining words for me in your initial post are "one of them chooses". Are we talking about a totally conscious choise?
If we're not excluding unconscious choise, then my answer to "Can the relationship grow, strengthen, survive?" is: Yes, absolutely.
It can be really tough. But I beleive it's still possible. Besides people can switch polarities.
Here is my personal example. My wife can be named "a darkworker". I considered myself "a lightworker". And our levels of consciousness are not very high. To be closer to my wife, I switched my polarity to be aligned with hers. And it was my wise conscious choise. Now we love and support each other and have less conflicts. Besides, I beleive, that the choise of my wife was unconscious. I beleive that as we both reach higher levels, we can keep our polarities or switch them - i.e. choose consciously. The road goes ever on
