Do you have a source for that at all? Lack of grammatical gender is a feature of the entire family so I would be surprised if there were somehow "remnants" of it that were present as recently as Ataturk's reforms. Removing loans that happen to be gendered in their source language don't really count.
It's really sad that a language has more than 700 years was changed because of man ego and hate to a religion. even if you agree with the guy, killing a language because of hate it's really a shame.
The reality is, Turks historically had a distant relationship to Islam, being the last major adopter of the religion, and Turkey’s Empire has kept and retained, in some cases proudly, many traditions that were openly in violation of quite a few tenets of the Muslim religion, traditions coming from Turks’ pagan past, from Europeans, and from everywhere else.
Ataturk’s ‘revolution’ was much more incremental than most people realise. Just like you cannot plant a parliament in a country that was previously governed by tribesmen, you cannot come up with the idea of ‘secularism’ in a country who was ruthlessly monocultural before and have it survive past your death. For better or worse, the laws Ataturk enacted had its roots in the culture of the land, and that’s the only reason he could, and that’s the only reason they survived past his death.
Muslims were a minority in the Ottoman Empire until the last 50 years of its 600+ year existence. Laicite is just a natural extension of the culture of tolerance that allowed the OE to even exist in the first place, and the extinguishment of which ultimately led to its downfall.
The good thing is that it's truly a structural, mathematical language now, though still hard to learn, and it can avoid the whole his / her awkwardness for people whose gender is unknown to the writer. The gaps left by the Arabic words dropped from common use was filled by French (11% of its corpus is 1:1 to French) and if you know a Romance language, you can make pretty decent guesses.
The bad thing, on the other hand, is that Turkey is full of ancient history, and so much of that history is adorned in Imperial Turkish, using Arabic alphabet that no one can read. Even if they did, they wouldn't understand, since Imperial and Modern Turkish has diverged so much they are no longer mutually intelligible, not even the slightest clue.
It makes you feel like a foreigner in one's own country, in a way. Always found it funny that I can understand Middle English from 1300s, and I can read inscribed colonnades in Rome from 500 BC – but I can neither read nor understand Turkish from 1922.