Nope. That's how that phrase is usually used in English. If you really need to check a dictionary go ahead...
So, you have 3 examples. That's too many? Me asking that is a highlight of the ridiculousness of your position. There are over 200 active churches in Turkey and somehow government temporarily shutting down a few of them after need for repairs arising due to environmental or extraordinary situations like fight with terror, not being even over 10, not being taken over for demolition or anything like that, means that the situation about the overall presence of Christianity in Turkey is worrying... Right...
Yet, you can't demonstrate how is was more authoritarian within the context of what we're discussing here.
Sigh... It's not the first time the Sumela monastery was closed for business. In fact, it was AKP who opened it religious services in 2010. The government have been paying for repairs since then. So, no, the idea that the monastery was there for ages is not a valid argument. The falling rocks are a symptom of erosion caused by many environmental factors, one is which earthquakes, which the government hardly has a control over.
Double sigh... Hagia Sophia is still not open for prayers. You can't go in and start praying. Not that the guards will arrest you, but that the building is not equipped or used for that. There are no carpets on the floor. The pictures of the Christian angels on the walls are not covered. The small prayer room in the compound is not dedicated to Islamic worship. It was built to accommodate Christian and Muslim workers that were working on restoration jobs in the building.
Triple sigh... You already know why the 6 churches were taken over by the government. As I said before, one of them was even opened in recent times with the help of the state. Of course, you can't address the fact that you're partially whining about buildings that were opened by the help of the state.
Oh, I love when it gets way too ironic... That's aside, you talk of common sense and then try to ground the claim one what someone else says. If the idea of common sense made sense within this context you wouldn't really need to quote a random historian (who is an art historian to be precise and an archaeologist).
The average Turk hardly considers Hagia Sophia as a sign of superiority of Islam over Christianity. It ultimately symbolizes the conquest of the city. There are other structures that symbolizes that claim of superiority. The Blue mosque or mostly Süleymaniye mosque to be precise. These were specifically constructed to rival Hagia Sophia.