Now this is not the same as the normal workplace where there is, more or less, standardized pay scales.  
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Anecdotal of course, but there is a good chance that if we were both hired and our credentials identical, I would be getting paid more.  Not because I am a man, but because I negotiated for more.

Pay/valuation for females in the arts is different than males (and movies is a pop/popular form of the arts). A bit of knowledge about the history of females in the western workplace is handy. In the visual arts it is well known that males draw more money than females. It is partly because the powerful collectors - the ones with the most money to 'invest'spend - are men. There are actually more female collectors in numbers, but they are not the richest collectors. The most highly valued (in $$$) artists are all male and have been for decades, actually for many centuries.

Females have been artists for centuries, but their work has often been attributed (or even stolen) by male artists. The recent movie "Big Eyes" is about this happening in the modern world. I did not see the movie but I'm well familiar with the true story that it is based on. It is not that unusual. The most powerful male, and female dealers know that the most powerful collectors (male mostly, but also female) and the promoters of work (who do not care about gender - only valuation$$) do not want to promote or collect the work of a female artist.

So if some female - any female - at the top can start to compete with those other top males it has a ripple effect. Not just 'trickle down' but 'trickle around'.

Notice that it is not #askherthesequestionsonly, but is #askhermore. Males are often judged on their abs or buffness. But they are not asked to show their abs on camera at the red carpet. Male abs look great in their 20s but are deemed effective in their 70s - but male abs do not look the same at those ages. I suspect most females love to talk about their manicures and fingers and their outfits. But they want to have more included in their questions, just like the males do. These female artists are actually no different than the male artists, but they are treated differently. Many people (male and female) want to see stories/movies that feature female action heroes just as much as male action movie heroes.

Not all people are uncomfortable, like you are, at seeing a female doing battle and getting punched back. But actually females are a lot like male human animals. Violence (and not just passive aggressive violence) is part of female humans like it is for male human animals. Many people understand this and if it is reflected in pop culture (movies in this case) that is not such a bad thing.

It is not a bad thing when people like, what?, "14 year old girls" like (as you disparaged about what 14 year old girls) like as half time entertainment. Hey when I was a young girl I liked the Beatles, Stevie Wonder, Chuck Berry, all Mowtown music - and yes, I was a 'stupid girl' but these loves of mine also had staying power. Females, young and old, can and do drive ratings and cultural trends. I remember when the older males in the 60s tried to dismiss the likes of the young females (Bob Dylan, Rolling Stones, etc etc etc) in the most arrogant self assured ways. We said "whatever" then and you might not want to relegate yourself to the 'older dude' status since other people will say "whatever" still to this day.