Soai didn't stop studying this topic after his successful experiment in 1995. He has published more papers on the link between autocatalysis and homochirality since then.
Here is a recent example from 2014...
Asymmetric Autocatalysis of Pyrimidyl Alkanol and Its Application to the Study on the Origin of Homochirality - Kenso Soai, Tsuneomi Kawasaki, and Arimasa Matsumoto
Abstract
Amplification of enantiomeric excess (ee) is a key feature for the chemical evolution of biological homochirality from the origin of chirality..
Soai goes on to describe that he started with a mixture where the difference between the two types of chiral molecule was 0.00005%. At the end of the autocatalytic reaction that difference had risen to more than 99.5%.
One type had been amplified 630,000 times while the other had increased by a factor of less than a thousand.
The source for this paper is also a highly credible journal - The American Chemical Society.
The test for a good scientific experiment is whether it can be replicated. Multiple examples by Soai and by other labs have confirmed the validity of his results over the past two decades.