The exact wording, from their FAQs is (my emphasis):

4. Do you provide accommodation for passengers who have connecting flights at the stopover point?

If Turkish Airlines won’t be able to provide a connecting flight to the passengers according to the schedule at the same day or if the connection time is more than 10 hours (for business class passengers more than 7 hours), hotel service is given to the passengers with confirmed tickets unless fare note has a restriction. All segments of the ticket must be Turkish Airlines international flights and the reservations must be confirmed.The coherences of the terms and conditions of the ticket are checked in stopover point and also hotel voucher is prepared at stopover point.All the visa prosedure (obtaining visa and charging visa) must be done by the passenger.Unless Turkish Airlines is not responsible for acomodation.

Thankfully, this should also cover me, as I have a 19.05 transit from a TK/MS codeshare (TK8061/MS736, but MS operated) to TK operated transit coming up.

Shame it arrives just too late in the day for the half-day tour

Mind you, there's long enough between flights that I could probably get out & see something of the city, on my own bat