Hi Wildaboutshoes,
As to the true or false question, it's my experience that more likely than not, a SO is going to have to deal with the issue of her partner going out in public in one way or another. As to preference, I think one has to look at the reasons for being in the closet. For some the reasons are serious motivators to stay closeted. There are some people who would lose their job, or be ostracized in their community. The consequences can be harsh. Families disown crossdressers, relationships are damaged or broken.
For me there was a time when coming out of the closet would have been impossible. It would have cost me my marriage, my business, my kids, and my relationships with immediate family members, such as mom, dad, brothers and sisters. But circumstances can and do change. When that happens the reasons for remaining in the closet can evaporate. I make no judgements about any sisters who remain in the closet. They know what is best for them.
My last point here is that for me it turned out I could have come out anytime. I just didn't know it.
Love always,
Elizabeth