Quote: So I need to do some out-loud thinking here.
She wants me to declare my unconditional love for her, because me saying that "I will not stay in a sexless marriage forever" puts too much "pressure" on her, makes her feel like a prostitute, etc.
I would point out that her expectation of your unconditional love puts too much pressure on you. That it makes you feel like a roommate rather than a husband.
Have you asked her to define unconditional love in a way that applies to *both* of you?