I won't begin to speak for the RS organization, they certainly monitor it, will make decisions, they ceased travel to Russia (St. Petersburg), so they must have some process.
As for Turkey, all I can suggest is to read the alerts. Keep in mind that Turkey is a large country, the situation near the border with Syria, Iran, and now Armenia is probably more of a concern, but the tour does not (I believe) go anywhere near those places.
State department alerts, while informative, always seem to be a bit excessive. I know when I traveled for business, every trip I would get a long email about all the terrible things in a country, and I only went to very safe places. If it helps, at the moment, Turkey is at a Level 2, the same as Italy and most every country in Europe.