Dangerous to conclude anything found on the Internet must be safe!
As a general rule, using hand tools on lathes is discouraged because machines using half a horse or more cutting metal have no trouble whatever mangling body parts. Emery cloth and paper are notorious for pulling arms into the chuck, and many have been spiked through the palm by files. Saws grab, blades shatter, and knives slip.
I'm not dead against getting the job done though, but there's a world of difference between an inexperienced operator ignorantly copying and a battle-scarred practitioner who knows exactly what he's doing. If it looks dodgy it probably is! Proceed with caution.
The good news about Model Engineering is most of the hazards are bleeding obvious and most of the people involved are keen to understand tools and techniques. As hobbies go, it's pretty safe. A&E is far more likely to see DIY victims than Model Engineers, even on a bad day.
Dave