Respectfully, as someone who identifies as asexual, please understand that just because someone identifies as asexual (or "ace" as we say for short), that doesn't mean that all are romantically attracted to the 'opposite' gender (or that all subscribe to the line of thought that gender is binary - there are many non-binary people in the ace community as well.)
If someone who is ace is aromantic as well, they may not face many of the challenges faced by allosexuals, but if one is ace and homoromantic, bi-romantic or pan-romantic, there is the potential for the same conflicts as if they were allosexual. Also, there is very real erasure of the perspective of the ace perspective: for example - I went to a new therapist once who, when I told them of my orientation, said that it could very well be my weight that made me ace (I'm super-morbidly-obese). No. My orientation is simply part of who I am.
So, no - our struggles may not always be the same, but that doesn't mean we don't have them. Nor does it mean they aren't just as real as those of others.