The No HandCheck rule is definitely a rule change with a profound impact on the NBA.
In the original timeline, before the rule change in '04, Shaq and the Stone Buddha dominated 5 out of the 6 FMVPs from '99 to '04.
The Mailman, Shaq, Duncan, and Garnett swept 5 out of the MVPs during that six-year span from '99 to '04!
After the rule change in '04, Manu Ginobili's ghostly breakthrough in the '05 Finals shattered the Pistons' iron defense, Dwyane Wade's breakthrough in the '06 Finals made Dirk Nowitzki synonymous with being soft. Tony Parker was unstoppable in the '07 Finals, and LeBron James, starting as a rookie with a 41% shooting rate, began his great career, with no season shooting below 45% afterward.
Such a major rule change would undoubtedly affect Roger as well.
The impact is that Roger finds it easier to score.
This isn't the first time Roger has scored over 20 in a single quarter, but it's definitely the easiest.