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Harry These are stolons and young bulbils form towards the end this is typical of the forms from Russia. They will grow to form a large bulb which send out the stolons check this bulb log https://www.srgc.org.uk/bulblog/log2006/190706/log.html.They will grow in a basket but some may escape by way of these stolons.
TristanI am familiar with the the studies you mention. From my observations as a grower I believe the American Frits have a different evolutionary history to the Eurasian ones with a few exceptions, that you mention, seeming to be closer in growth characteristics to the American race and I would support the multiple divergences hypothesis.