You moved it. :-P
I myself own the neroli absolute, but have also sniffed the neroli essential oil. To my nose, the absolute is neither feminine nor masculine. If I had to choose, I would say it's feminine, but I would say the same about the EO. To me, the difference between them lie not with gender.
The difference between the absolute and the essential oil lie in the method of concentration. The EO uses steam distillation, wherease the absolute is produced using organic solvents. Now, the organic solvents of the absolute preserves more of the floral scent, but the essential oil is better for theraputic use, especially if taken internally! The absolute will smell stronger, and more vibrant. Perhaps this is what you're experiencing, but to me I don't see exactly the differences pointed out in that review. The absolute does smell denser, and more complex, but I mostly attribute this to the increase in strength. I don't think it smells thinner, nor do I think the EO smells thicker or fresher, although it does smell somewhat lighter.
Now, occasionally, you will find an inferior neroli essential oil that is labled as neroli, but is actually a combination of the flowers of the orange tree and the leaves, otherwise known as petigrain. I suspect this may be where the masculine freshness and greeness of neroli seems to be coming from, and that this is the difference between the masculine and feminine. You will rarely find this in absolutes, in fact I doubt it ever really happens, but I feel as though it is sadly almost common in many EO's.
~Silk and Steel