I am sorry.

I think American or European lampworker call Latticino cane that type.
Japanese call twisted cane or lace cane that type decoration.
I tried looking into that, but I didn't know.
I don't know what to call in Japanese language of Edo-period.　If I was say it SUJI-DAMA.
Suji means stripe.
Usually, We Japanese lampworker call lace cane. We have no special word in Japanese.

regards,

MIKI