My experience of small lathes, is it has to be said, generally bad.
Even the “good” ones, with well made parts, quality slides, and big motors just don’t seem to have “enough mass” to produce really high quality turned parts. My suspicion is that because the parts are a lot lighter than a full sized Lathe, the critical frequency of vibration is a in the same sort of frequency range as you want to cut at. This means that tool chatter etc is very difficult to avoid.
Having said that, by fitting some better quality head stock bearings, re-shimming / aligning the slides and toolposts, adding a much bigger 1phase motor with a nice heavy flywheel (to give some “inertia” behind the cut) i did make a reasonably lathe out of a cheapy Ebay one.
In the end though, for anything that mattered i used my work lathe or outsourced it, and just use the little “hobby” lathe for stupid jobs like parting off a bit of barstock square, or making a little nylon top hat bush to hold some non critical part or other etc