I used basecap as shoe moulding in my own home, partly because I liked the look, but mainly because I made all my own trim & I had the base cap knife in the moulder & I was to lazy to tool up to run other moulding.
But shoe works in all these situations. There is no use I know of for quarter round.quarter round came in to use because people would do an overlay - whether vinyl, another layer of wood, etc... & were to lazy to remove the baseboard which in some cases I can understand i.e. 1x10 stock with plaster over it
as also mentioned above as baseboard became thinner it wouldn't cover the gap
the final item is not all floors stay at the same plane so there would be a gap which most customers wouldn't accept
Between these three items it became almost synonymous with how things should be so even when it isn't needed most people install it / request it
Me, I try to educate HO's & skip it all together - one helpful item is mention how much closer to the walls they can place furniture, with that they have the green & you can knock it out pretty quick
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both solutions are fine for paint grade work.End clipped at 22.5º angle, leaving a flat end, flat is planed out to the face of the casing.
22.5º returns happen all the time in the midwest with stain grade trim.both solutions are fine for paint grade work.
on stain grade the edge of the casing is slightly/micro rounded.
no way to return or bevel in to without there being a noticeable gap.
a base plinth block will remedy the situation.
however, i will admit not all budgets allow for this solution.