Don’t think so re manpower.
Recall, age distribution Turkey vs Russia favors Turkey. So its not such a mismatch.
Next, doubt if the Russians will or can fully mobilize. This a “war of choice” for them.
Last, Turkey will be able to concentrate on its principal dangerous land frontier, while Russia has a single railroad, maybe, going through either Georgia or Azerbaijan, neither of which are friendly and will have to be invaded or intimidated. Either way logistics will be difficult, at the far end of the Caucasus.
They’ll take Georgia and intimidate them, as well as make Putin into a neo-Czar, defender of the Orthodox Church. Azerbaijan is Muslim. Like I say, they have a nasty, no-prisoners attitude, as Georgia already knows to its sorrow. They don’t need to successfully invade Turkey, just keep it out of Assad’s way while they continue to destroy his opposition.