There has never been a signature cane in a Chinese paperweight unless it was a copy of someone else's signature cane, which is not an improbability considering China-made imitations.
As noted, when the word "China" or "Made in China" appears - often lettering on a white rectangle - it's about import restrictions. Often, companies make paperweights for specific markets. For example, virtually all of D'Albret's sulphides were shipped to the U.S. market.
Not to roil the waters, stir the pot, or bring up the you-know-what again, but there is limited scholarship on Chinese paperweights, as they are assembly-line products, very easy to identify, and quite ubiquitous.