A PCV is a valve that regulates the amount of crankcase gasses allowed to pass from the crankcase, as such it should be designed to prevent oil from passing into the intake. If oil is entering the intake there is too much blowby or it is poorly designed. If there is a hose that connects the pcv to the intake manifold remove one end and check for oil, it may be oily but should have no liquid oil in it.
I used to put an unregulated hose on MM engines and never had oil burning from that installation, in fact it would stop of oil leaks.
I would be more concerned about the intake valve stem seals. When you shut the tractor off any oil on the intake valves will leak down the guide, then on start up the oil enters the combustion chamber. This give a brief of blue smoke that rapidly clears up.
As for black smoke on start up, this is often caused by the governor/pump assembly. In fact some engines have an excess fuel button to push for cold weather starting. Think of it this way the engine is not running so the governor is set a wide open, until the speed get high enough for the governor to control the engine speed it is set a full fuel flow. When this happens you get an overfuel condition and of course black smoke briefly. It may indicate bed injectors or fuel pump but more than likely not. If it has gotten harder to start, low power, poor fuel efficiency, or similar issues then it is time to get the injectors checked and set. most manufacturers recommend the injectors should be checked, cleaned and set every so often, usually every ? hours, or if you have used dirty or water logged fuel