Great qs - As for why apps don't show profiles more randomly - I think because the space is so competitive, perceived quality is so important and frankly its "easy" for apps to leverage who they show to who and when in order to make users most likely to keep swiping and/or upgrade. I do think apps generally want you to find a partner, but are generally okay with making the experience valuable to them (even if that means gamifying and playing with who gets to see who and when) along the way.

I'd say (assuming by the way you phrased the question you're referring to men who are generally interested in women, women who are generally interested in men) there are certain factors and preferences that trend across genders which do influence dating behavior and outcomes for these populations. Based on survey data we collected a few years ago - some are shared across genders (e.g. political views) others are not (e.g. height). But I wouldn't say there were glaring different "goals" by gender, so much as some difference in how important certain factor were.