I do take the initial cutting at low speed and gentle feed until there is an appreciable arc between each flat.
One problem I suspect with intermittent cutting on lathes with screw-on chucks is the hammering action tightening the chuck still further.
If we reverse the process, making polygonal features on essentially cylindrical items, I use a different approach where possible, especially for batches of items. Here I cut grooves to the eventual A/F diameter at the parting-length, and add any chamfer at that point, then mill the flats before parting-off. It means two machine transfers but since I am more likely to make five rather than five hundred parts, that’s not a great problem. If the maximum diameter fits the lathe spindle the intermediate stage is a rod with a series of grooves round it. The end effect is that the parting-off is always on cylindrical stock.