Sounds like it wouldn't have helped at all. From the article: "Proponents of HR 620 say that changes to the ADA are needed to prevent so-called drive-by lawsuits, where attorneys and people with disabilities use the ADA for their own monetary gain by filing frivolous claims. Yet, as the Democrats noted in their letter, HR 620 will do nothing to stop such cases because 'these private actions seeking damages are filed pursuant to specific State laws that unlike title III of the ADA, authorize monetary damages. HR 620 would make no change to those state laws and therefore fails to address lawsuits seeking damages.'"
I suspect the main reason for the bill was the "substantial progress" wording, which would let businesses get out of becoming fully compliant.