Just like other things, printing a little bit more of money isn't bad at all and doesn't result to inflation. But too much of something is always bad. Too much printing of money will result to inflation which affects the economy of the whole country and its the people who experience such consequences the most.
Don't believe everything what's written on the Internet. Your note about a central bank not being a part of the government may technically be true in certain cases, but even when it is true, this is irrelevant as both central banks and governments are all part of the establishment, or the ruling elite, if you please. If you choose to disagree, then I can just say that central banks themselves aren't printing anything. If you mean paper money and coins, they are printed and minted by specialized facilities which are separate companies or corporations. If you mean cashless fiat (so-called electronic, or digital, money), it is mostly created by commercial banks via credit, not by a central bank on its own.