The idea that a particular candidate was cheated because they won a symbolic but politically irrelevant victory that the competition wasn't even trying for is not a particularly good argument. In fact, it's positively Trumpian; he famously used the "popular vote" argument to discredit Obama's victory.
What Clinton was trying to do was not so much “win the popular vote” but “maximize down-ballot coattails associated with an expected electoral victory” (and, thereby, assure that members of Congress of her party felt thet owed her.)
It's perhaps worth remembering that inability to marshal support from Congressional reps of his own party, particularly it's liberal wing, is what handed her husband two stinging early embarrassments (one of which was defeat on an issue she was the face of): the lesser being NAFTA passing with strong Republican support but widespread and strong Democratic opposition, and the greater being the humiliating defeat of Clinton's signature campaign initiative, health care reform.
How? I rather thought that Nixon (or Ted Kennedy, the principal sponsor of the bill) did that with the Health Maintenance Organization Act of 1973, the federal law that required employers with 25 or more employers to offer them if they offered traditional insurance plans, almost 20 years before Clinton took office.
What Bill Clinton did do after he big health reform failed was HIPAA.