The starting of a turbocharged piston engine will be the same as for the normally aspirated version of that engine - indeed, I have ferried home aircraft with seized turbos, they ran fine, other than you just had no boost. The turbo in a plane may require some pilot "management" depending upon how that specific system works, unlike the turbo in a car, which is entirely transparent to the driver in its operation.
Turbine engines are an entirely different thing. In most cases, they are easier to start, but if you get it wrong, you can make it very bad very fast. A piston engine will at worst have a carburettor fire, melted starter motor, or just a flat battery.
A turbine engine, other than very modern FADEC controlled engines, is always vulnerable to pilot abuse, more so than a piston. Both types can be abused, but there will be one or two orders of magnitude difference in cost for the damage done by abuse.