I've not seen a direct connection between the two (at least in terms of denigrating). It's true that there is gatekeeping of 'gaming' that tends to look down on mobile gamers (in the sense that mobile games aren't 'real games' by some arbitrary and stupid metric), and the same is also true of women gamers (though more in the sense that there's many accusations of women gamers faking interest in gaming for attention or are somehow less invested in it than 'real gamers', again by some arbitrary metric). It's also true that women make up a much larger proportion of mobile gamers than gamers on other platforms. I'm sure there are some who will (through the lenses of the other biases I've mentioned) view this as evidence that women are 'fake gamers'. I'm not too familiar with whether this is actually a common trope or not, though (I'm not in a position to receive this flack nor do I hang out in places likely to give it out).

(Either way I think the argument that this means the article is intrinsicly sexist is definitely reaching. It seems the accusation of gatekeeping is more valid, though I think this requires a pretty uncharitable interpretation of something which is clearly aiming elsewhere)