I have managed to ignite Titanium whilst turning on two occasions, on each occasion I had simply pushed the work too fast and hard hence my advice above, on both occasions the fibre re-enforced plastic concertina bellows covering the ways under my chuck survived intact.
The bellows survived because on a small lathe in the home workshop it is an easy task for the sensible operator to stop the lathe and clear all chips and swarf at the end of each cut, moving them safely out of the way, you could combine this with a suitable catch tray under the work and even the smallest risk of anything like all the above quoted horror stories can be obviated.
But if it scares you don't do it!
And if you can't see a way to make it safe don't do it!
Telling others it can't be done safely because you are "Hard of Thinking" is an amusing option, next you'll be telling people it's dangerous to store things on a rack on the wall behind the lathe because you assume they must be too stupid to stop a machine before reaching past it, or possibly because you hadn't thought of that option yourself! 😀
– Nick