The only way I can see that we're "better" is that sometimes we're more aware of problems that women have in society than other men, such as rape, being overlooked, paid less, etc, if not through experiencing it ourselves but through being trusted by women to listen to those conversations. Obviously this depends on our personal experiences and the age at which we transitioned. People who transitioned younger or even just discovered they were trans younger are going to have less of this than people who didn't transition/realise later in life. Since being stuck in a room with 3 girls since September I've learned a lot more about life as a female through being forced to socialise with them. I don't avoid talking to them, they're mostly alright people, but even if I hadn't sought them out to talk to I'd have found out stuff in their conversations late at night.
Something that most of us have had in common with most cis women is the monthly stuff, so we can understand more than cis men on that count.
Although there are some points where we can understand and empathise more than cis guys, I still don't think that we're any more special than them. We shouldn't be put into a separate category and sought out because of how we happened to be born. I'm a man just like anyone else, and although I've heard about more women's problems/life than other men it's nothing more special in my opinion to spying on them. It's solely information to me, I don't connect with them more, and I can still be an insensitive moron sometimes because I don't understand female stuff on the same level as a woman.
Just as some cis men are better partners than others, some trans men are better partners than others. We're all individuals, not clones of each other with an innate ability to be amazing lovers.
