I can't say I've ever heard anyone say they use jojoba to get longer lasting bubbles, but maybe that info is around and I've simply not seen it. I usually hear about people who use jojoba to create a "luxury" soap.
The author is making claims, but is not offering any results to support their claims. Even if their ideas are correct, jojoba oil is fairly expensive, so I'm not sure the added cost justifies the possible benefit of longer-lasting lather.
Not to mention there's already an alternative -- castor oil, which is widely used by handcrafted soap makers, already fits this niche. Ricinloleic acid from castor oil is unusual compared with other common soap making fats because it contains a hydroxyl (-OH) group in its structure. This hydroxyl group allows this fatty acid to form a weak bond with water.
When castor oil is included in a soap recipe, the ricinoleic soap interacts with water and increases the stability of soap bubbles. This extra stability helps the lather to last longer.