Maybe the following can shed some more light on what to use when.
This is what Tubal Cain wrote about this subject. Quotes are from his Workshop Practice Series book number 15 titled ‘Workholding in the lathe’
From p. 27
‘’To sum up, provided the centres are correctly shaped and truly aligned (and all else is in order) between centres turning produces the most accurate and repeatable of all methods, even when the work piece is so short that it could readily be chuck held. Further, it is possible to contrive to hold the most unlikely objects between centres.’’
From p.62
‘’Just as most ….expect their lathe to do work far in excess of that for which it was designed, so they seem to expect quite unreasonable degrees of accuracy from their chucks.’’. In normal manufacturing neither the Designer nor the Production Engineer would expect to reverse the work in the chuck - apart, perhaps, for a simple end-facing operation…’’
From p. 67
‘’There was a time when the use of the tailstock centre in conjunction with a self-catering chuck was disparaged; a relic, no doubt, of the days when normal chuck run-out was far higher than it is today. With work of reasonable length, however, no harm at all can result from supporting the tail end of the work in this way, and there are many circumstances where it can be a great help. Trouble is often experienced when turning slender workpieces between centres, with chatter especially. If one end is held in a self-centring chuck (or in a properly set-up independent chuck) the work is stiffened, the natural frequency of vibration is altered, and the chatter may well disappear.‘’
‘’I never have any hesitation in using this combination (chuck and TS centre), with one proviso: that it is possible to cut an accurate centre in the end of the workpiece. There are certain limitations. A piece machined entirely in the chuck will be true; a piece machined entirely between centres will be true also; but a piece machined using both may not be.’’
‘’ There is a risk that as the work heats up during cutting it will be thrust further into the chuck as it expands….. feed dial readings used for locating shoulders - i.e. for dimensions along the length of the work - may be thrown awry if the work is thrust further into the chuck jaws. ‘’