Nah thats okay, aromantic basically means that an aro person does not experience romantic attraction so no aromantics do not actually fall in love. They can or may want however to be in a fulfilling romantic relationship they just won't feel any romantic attraction to their partner.
Someone said that even aromantics can fall in love eventually but they can't, that would mean they are demi.
Also once again I'm aro and I enjoy romance stories? One does not negate the other, and thinking I should fall in love and feeling like something wrong with me was exactly what happened to me too.
I don't think the author meant to do this, tbh I don't even know if most people in Japan know what aro is so I'm not expecting that the MC is, I'm just sayin that she is written as aro because everything she feels I can closely relate to as an aro person