Millers Collecting Glass says “A much simpler style of cutting emerged in the 19thC; it involved cutting flat vertical slices from the glass, usually around the bottom of the bowl on drinking glasses, and was known as ‘Broad-flute’ or facet cutting”.
Bickerton shows a bucket bowl rummer cut around the bottom of the bowl with vertical slices (with curved tops), he has gone for ‘fluted base’. I assumed the type described as ‘petal’ need to look like petals when viewed from above, like Nev’s glass. Probably more on similar conical shaped bowls than bucket bowls and possibly just the moulded versions of those.
The bowl shape of Nev’s glass looks closest to an ogee bowl to me.
Paul, Bickerton has wine glasses and ale glasses with pan top bowls.