I partially agree but partially disagree.
I agree that gender is a social construct and your definition of your own gender role is heavily dependant on the society around you, your parents, your friends, the media, etc. You weren't born with your gender, that's correct.
But you were born with your brain and the way it thinks, the chemistry that makes you the way you are. And that's the basis of how you experience your gender. A different social group might put your specific combination of character traits in different gender categories and you will experience your gender through the lense of whatever society you're in. But what makes you have those traits that culminate in your experience of your gender is something you are born with.
And for sexual, romantic, platonic attraction, that is 100% a physical response of your body (which you described exactly like that) and thus is 100% something you are born with. Yes, you might express your attraction in different ways because your social surroundings have taught you some of these feelings are good and others are bad and sometimes it can be difficult to overcome that and find out what's really behind it all. But at the core of it, it's all biology - you're born with it.
I absolutely get why you have a problem with the words and I also like "it's not a choice" better. But I wouldn't go so far as to suggest we collectively shouldn't use "born this way" anymore. Especially since "born this way" is a much easier concept to grasp for people who don't share our experiences and might not understand how it isn't a choice if we weren't born that way.