A working group of players representing all 16 clubs has agreed teams should carry competition points through to a revamped NRL season.
Only two rounds of the 2020 campaign were completed, before coronavirus control lockdowns caused a halt to the action.
The NRL is looking to relaunch the season on May 28, and reports suggest the league wants early-season wins to count - the players agree.
But Sydney Roosters boss Nick Politis has reignited the debate, calling for a points reset when the season resumes.
Officials from Cronulla and the NZ Warriors - whose teams, like the Roosters, have yet to pick up a point - echoed Politis' call.
However, NRL.com reports the Rugby League Players Association working group were near-unanimous in their agreement that the first two rounds count.
"I was pretty happy to hear that," Penrith halfback Nathan Cleary, who was part of the meeting, told Nine's Sunday Footy Show.
"I don't think [it would be fair to lose points].
"Obviously [I'm] a little bit biased because we won our first two games.
"You work pretty hard to win games in the NRL, so I couldn't see the justification of taking the points off."
Cleary's Panthers are one of six undefeated clubs through the first two rounds, whoie Manly, Wests Tigers, North Queensland and the South Sydney Rabbitohs all secured one win.
Souths boss Blake Solly told AAP he wanted to wait until the competition's structure was confirmed before a proper discussion on the matter took place.
The debate comes after the argument for points to be stripped was initially largely based on the NRL breaking off into a conference system.
But the 'Project Apollo' innovations committee chairman Wayne Pearce has since confirmed that structure is now extremely unlikely for the 2020 season.
Instead, a further 13-round competition would take place, meaning each team plays each other once, although there is speculation broadcaster Fox Sport, is pushing the case for an additional two or three "rivalry" rounds to boost television ratings.
The NRL and broadcasters, Fox and Nine, will meet later in the week to discuss a final resolution that is likely to see the Grand Final played in late October.