Yes, the Solmuke, and in fact a fair few that possess a name rather than a number, are more likely to have fire worked rims, along with the ringed base ?
(but like the Whitefriars pontil, this doesn't appear on everything by any means)
The 'export' vases, as lovely as they are, were fairly low-cost pieces and I shouldn't have thought warranted such a treatment, cost-wise ?